---
OA_place: repository
OA_type: green
_id: '22200'
abstract:
- lang: eng
text: "In Kuperberg and Lal´ın [Forum Math. 34 (2022), pp. 711–747],\r\nthe authors
studied the mean-square of certain sums of the divisor function\r\ndk(f) over
the function field Fq[T] in the limit as q →∞ and related these\r\nsums to integrals
over the ensemble of symplectic matrices, along similar lines\r\nas previous work
of Keating, Rodgers, Roditty-Gershon and Rudnick [Math. Z.\r\n288 (2018), pp.
167–198] for unitary matrices. We present an analogous problem yielding an integral
over the ensemble of orthogonal matrices and pursue\r\na more detailed study of
both the symplectic and orthogonal matrix integrals,\r\nrelating them to symmetric
function theory. The function field results lead to\r\nconjectures concerning
analogous questions over number fields."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Vivian Zieve
full_name: Kuperberg, Vivian Zieve
id: c3bac823-112d-11f0-a3f5-c264f852e697
last_name: Kuperberg
- first_name: Matilde
full_name: Lalín, Matilde
last_name: Lalín
citation:
ama: Kuperberg VZ, Lalín M. Symplectic conjectures for sums of divisor functions
and explorations of an orthogonal regime. Transactions of the American Mathematical
Society, Series B. 2025;12(10):323-370. doi:10.1090/btran/186
apa: Kuperberg, V. Z., & Lalín, M. (2025). Symplectic conjectures for sums of
divisor functions and explorations of an orthogonal regime. Transactions of
the American Mathematical Society, Series B. American Mathematical Society.
https://doi.org/10.1090/btran/186
chicago: Kuperberg, Vivian Zieve, and Matilde Lalín. “Symplectic Conjectures for
Sums of Divisor Functions and Explorations of an Orthogonal Regime.” Transactions
of the American Mathematical Society, Series B. American Mathematical Society,
2025. https://doi.org/10.1090/btran/186.
ieee: V. Z. Kuperberg and M. Lalín, “Symplectic conjectures for sums of divisor
functions and explorations of an orthogonal regime,” Transactions of the American
Mathematical Society, Series B, vol. 12, no. 10. American Mathematical Society,
pp. 323–370, 2025.
ista: Kuperberg VZ, Lalín M. 2025. Symplectic conjectures for sums of divisor functions
and explorations of an orthogonal regime. Transactions of the American Mathematical
Society, Series B. 12(10), 323–370.
mla: Kuperberg, Vivian Zieve, and Matilde Lalín. “Symplectic Conjectures for Sums
of Divisor Functions and Explorations of an Orthogonal Regime.” Transactions
of the American Mathematical Society, Series B, vol. 12, no. 10, American
Mathematical Society, 2025, pp. 323–70, doi:10.1090/btran/186.
short: V.Z. Kuperberg, M. Lalín, Transactions of the American Mathematical Society,
Series B 12 (2025) 323–370.
date_created: 2026-06-29T12:59:46Z
date_published: 2025-03-20T00:00:00Z
date_updated: 2026-07-14T11:24:55Z
day: '20'
doi: 10.1090/btran/186
extern: '1'
external_id:
arxiv:
- '2212.04969'
intvolume: ' 12'
issue: '10'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2212.04969
mathsc:
- 11N60
- 05A15
- 11M50
- 11N56
month: '03'
oa: 1
oa_version: Preprint
page: 323-370
publication: Transactions of the American Mathematical Society, Series B
publication_identifier:
issn:
- 2330-0000
publication_status: published
publisher: American Mathematical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Symplectic conjectures for sums of divisor functions and explorations of an
orthogonal regime
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 12
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '22199'
abstract:
- lang: eng
text: Kuperberg and Lalín stated some conjectures on the variance of certain sums
of the divisor function dk(n) over number fields, which were inspired by analogous
results over function fields proven by the authors. These problems are related
to certain symplectic matrix integrals. While the function field results can be
directly related to the random matrix integrals, the connection between the random
matrix integrals and the number field results is less direct and involves arithmetic
factors. The goal of this article is to give heuristic arguments for the formulas
of these arithmetic factors.
article_number: e70029
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Vivian Zieve
full_name: Kuperberg, Vivian Zieve
id: c3bac823-112d-11f0-a3f5-c264f852e697
last_name: Kuperberg
- first_name: Matilde
full_name: Lalín, Matilde
last_name: Lalín
citation:
ama: Kuperberg VZ, Lalín M. Arithmetic constants for symplectic variances of the
divisor function. Mathematika. 2025;71(3). doi:10.1112/mtk.70029
apa: Kuperberg, V. Z., & Lalín, M. (2025). Arithmetic constants for symplectic
variances of the divisor function. Mathematika. Wiley. https://doi.org/10.1112/mtk.70029
chicago: Kuperberg, Vivian Zieve, and Matilde Lalín. “Arithmetic Constants for Symplectic
Variances of the Divisor Function.” Mathematika. Wiley, 2025. https://doi.org/10.1112/mtk.70029.
ieee: V. Z. Kuperberg and M. Lalín, “Arithmetic constants for symplectic variances
of the divisor function,” Mathematika, vol. 71, no. 3. Wiley, 2025.
ista: Kuperberg VZ, Lalín M. 2025. Arithmetic constants for symplectic variances
of the divisor function. Mathematika. 71(3), e70029.
mla: Kuperberg, Vivian Zieve, and Matilde Lalín. “Arithmetic Constants for Symplectic
Variances of the Divisor Function.” Mathematika, vol. 71, no. 3, e70029,
Wiley, 2025, doi:10.1112/mtk.70029.
short: V.Z. Kuperberg, M. Lalín, Mathematika 71 (2025).
date_created: 2026-06-29T12:59:16Z
date_published: 2025-05-01T00:00:00Z
date_updated: 2026-07-14T11:20:10Z
day: '01'
doi: 10.1112/mtk.70029
extern: '1'
external_id:
arxiv:
- '2410.17939'
intvolume: ' 71'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2410.17939
mathsc:
- 11N60
- 05A15
- 11M50
- 11N56
month: '05'
oa: 1
oa_version: Preprint
publication: Mathematika
publication_identifier:
issn:
- 0025-5793
- 2041-7942
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Arithmetic constants for symplectic variances of the divisor function
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 71
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '22201'
abstract:
- lang: eng
text: We consider an analog of a conjecture of Montgomery and Soundararajan on the
moments of primes in short intervals in number fields; this analog was discussed
and heuristically derived in a paper of the second author, Rodgers, and Roditty-Gershon.
Adapting work of the first author and Fiorilli in the integer case, we establish
lower bounds on a weighted version of these moments which agree with the conjectured
values.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Régis
full_name: de la Bretèche, Régis
last_name: de la Bretèche
- first_name: Vivian Zieve
full_name: Kuperberg, Vivian Zieve
id: c3bac823-112d-11f0-a3f5-c264f852e697
last_name: Kuperberg
citation:
ama: de la Bretèche R, Kuperberg VZ. Lower bounds on weighted moments of primes
in short intervals in number fields. Israel Journal of Mathematics. 2025;267(1):437-461.
doi:10.1007/s11856-024-2711-0
apa: de la Bretèche, R., & Kuperberg, V. Z. (2025). Lower bounds on weighted
moments of primes in short intervals in number fields. Israel Journal of Mathematics.
Springer Nature. https://doi.org/10.1007/s11856-024-2711-0
chicago: Bretèche, Régis de la, and Vivian Zieve Kuperberg. “Lower Bounds on Weighted
Moments of Primes in Short Intervals in Number Fields.” Israel Journal of Mathematics.
Springer Nature, 2025. https://doi.org/10.1007/s11856-024-2711-0.
ieee: R. de la Bretèche and V. Z. Kuperberg, “Lower bounds on weighted moments of
primes in short intervals in number fields,” Israel Journal of Mathematics,
vol. 267, no. 1. Springer Nature, pp. 437–461, 2025.
ista: de la Bretèche R, Kuperberg VZ. 2025. Lower bounds on weighted moments of
primes in short intervals in number fields. Israel Journal of Mathematics. 267(1),
437–461.
mla: de la Bretèche, Régis, and Vivian Zieve Kuperberg. “Lower Bounds on Weighted
Moments of Primes in Short Intervals in Number Fields.” Israel Journal of Mathematics,
vol. 267, no. 1, Springer Nature, 2025, pp. 437–61, doi:10.1007/s11856-024-2711-0.
short: R. de la Bretèche, V.Z. Kuperberg, Israel Journal of Mathematics 267 (2025)
437–461.
date_created: 2026-06-29T13:00:06Z
date_published: 2025-06-01T00:00:00Z
date_updated: 2026-07-14T11:28:49Z
day: '01'
doi: 10.1007/s11856-024-2711-0
extern: '1'
external_id:
arxiv:
- '2305.02662'
intvolume: ' 267'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2305.02662
month: '06'
oa: 1
oa_version: Preprint
page: 437-461
publication: Israel Journal of Mathematics
publication_identifier:
eissn:
- 1565-8511
issn:
- 0021-2172
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Lower bounds on weighted moments of primes in short intervals in number fields
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 267
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '22203'
abstract:
- lang: eng
text: "We prove near-optimal upper bounds for the oddmoments of the distribution
of coprime residues inshort intervals, confirming a conjecture of Montgomeryand
Vaughan. As an application, we prove near-optimalupper bounds for the average
of the refined singularseries in the Hardy–Littlewood conjectures concerningthe
number of prime \U0001D458-tuples for \U0001D458 odd. The mainnew ingredient is
a near-optimal upper bound for thenumber of solutions to ∑1 ⩽\U0001D456 ⩽\U0001D458\U0001D44E
\U0001D456\U0001D45E\U0001D456∈ ℤ when \U0001D458 is odd,with gcd(\U0001D44E\U0001D456
, \U0001D45E\U0001D456 ) = 1 and restrictions on the size of thenumerators and
denominators, which is of indepen-dent interest."
article_number: e70068
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Thomas F.
full_name: Bloom, Thomas F.
last_name: Bloom
- first_name: Vivian Zieve
full_name: Kuperberg, Vivian Zieve
id: c3bac823-112d-11f0-a3f5-c264f852e697
last_name: Kuperberg
citation:
ama: Bloom TF, Kuperberg VZ. Odd moments and adding fractions. Proceedings of
the London Mathematical Society. 2025;131(1). doi:10.1112/plms.70068
apa: Bloom, T. F., & Kuperberg, V. Z. (2025). Odd moments and adding fractions.
Proceedings of the London Mathematical Society. Wiley. https://doi.org/10.1112/plms.70068
chicago: Bloom, Thomas F., and Vivian Zieve Kuperberg. “Odd Moments and Adding Fractions.”
Proceedings of the London Mathematical Society. Wiley, 2025. https://doi.org/10.1112/plms.70068.
ieee: T. F. Bloom and V. Z. Kuperberg, “Odd moments and adding fractions,” Proceedings
of the London Mathematical Society, vol. 131, no. 1. Wiley, 2025.
ista: Bloom TF, Kuperberg VZ. 2025. Odd moments and adding fractions. Proceedings
of the London Mathematical Society. 131(1), e70068.
mla: Bloom, Thomas F., and Vivian Zieve Kuperberg. “Odd Moments and Adding Fractions.”
Proceedings of the London Mathematical Society, vol. 131, no. 1, e70068,
Wiley, 2025, doi:10.1112/plms.70068.
short: T.F. Bloom, V.Z. Kuperberg, Proceedings of the London Mathematical Society
131 (2025).
date_created: 2026-06-29T13:00:46Z
date_published: 2025-07-01T00:00:00Z
date_updated: 2026-07-14T11:45:18Z
day: '01'
doi: 10.1112/plms.70068
extern: '1'
external_id:
arxiv:
- '2312.09021'
intvolume: ' 131'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2312.09021
mathsc:
- 11N69
- 11N05
- 14G05
month: '07'
oa: 1
oa_version: Preprint
publication: Proceedings of the London Mathematical Society
publication_identifier:
eissn:
- 1460-244X
issn:
- 0024-6115
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Odd moments and adding fractions
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 131
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '22204'
abstract:
- lang: eng
text: "We study the distribution of consecutive sums of two squares in arithmetic
progressions. We\r\nshow that for any odd squarefree modulus q, any two reduced
congruence classes a1 and a2 mod q,\r\nand any r1,r2 ≥ 1, a positive density of
sums of two squares begin a chain of r1 consecutive sums of\r\ntwo squares, all
of which are a1 mod q, followed immediately by a chain of r2 consecutive sums
of two\r\nsquares, all of which are a2 mod q. This is an analog of the result
of Maynard for the sequence of primes,\r\nshowing that for any reduced congruence
class a mod q and for any r ≥ 1, a positive density of primes\r\nbegin a sequence
of r consecutive primes, all of which are a mod q"
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Noam
full_name: Kimmel, Noam
last_name: Kimmel
- first_name: Vivian Zieve
full_name: Kuperberg, Vivian Zieve
id: c3bac823-112d-11f0-a3f5-c264f852e697
last_name: Kuperberg
citation:
ama: Kimmel N, Kuperberg VZ. Positive density for consecutive runs of sums of two
squares. Journal of the Institute of Mathematics of Jussieu. 2025;24(5):1995-2046.
doi:10.1017/s1474748025000131
apa: Kimmel, N., & Kuperberg, V. Z. (2025). Positive density for consecutive
runs of sums of two squares. Journal of the Institute of Mathematics of Jussieu.
Cambridge University Press. https://doi.org/10.1017/s1474748025000131
chicago: Kimmel, Noam, and Vivian Zieve Kuperberg. “Positive Density for Consecutive
Runs of Sums of Two Squares.” Journal of the Institute of Mathematics of Jussieu.
Cambridge University Press, 2025. https://doi.org/10.1017/s1474748025000131.
ieee: N. Kimmel and V. Z. Kuperberg, “Positive density for consecutive runs of sums
of two squares,” Journal of the Institute of Mathematics of Jussieu, vol.
24, no. 5. Cambridge University Press, pp. 1995–2046, 2025.
ista: Kimmel N, Kuperberg VZ. 2025. Positive density for consecutive runs of sums
of two squares. Journal of the Institute of Mathematics of Jussieu. 24(5), 1995–2046.
mla: Kimmel, Noam, and Vivian Zieve Kuperberg. “Positive Density for Consecutive
Runs of Sums of Two Squares.” Journal of the Institute of Mathematics of Jussieu,
vol. 24, no. 5, Cambridge University Press, 2025, pp. 1995–2046, doi:10.1017/s1474748025000131.
short: N. Kimmel, V.Z. Kuperberg, Journal of the Institute of Mathematics of Jussieu
24 (2025) 1995–2046.
date_created: 2026-06-29T13:01:08Z
date_published: 2025-09-01T00:00:00Z
date_updated: 2026-07-14T11:50:36Z
day: '01'
doi: 10.1017/s1474748025000131
extern: '1'
external_id:
arxiv:
- '2406.04174'
intvolume: ' 24'
issue: '5'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2406.04174
month: '09'
oa: 1
oa_version: Preprint
page: 1995-2046
publication: Journal of the Institute of Mathematics of Jussieu
publication_identifier:
eissn:
- 1475-3030
issn:
- 1474-7480
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Positive density for consecutive runs of sums of two squares
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 24
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
_id: '22213'
abstract:
- lang: eng
text: Unlike biological active matter that constantly adapt to their environment,
the motors of synthetic active particles are typically agnostic to their surroundings
and merely operate at constant force. Here, we design colloidal active rods capable
of modulating their inner activity in response to crowding, thereby enforcing
a primitive form of quorum sensing interactions. Through experiments, simulations,
and theory we elucidate the impact of these interactions on the phase behavior
of isotropic active matter. We demonstrate that, when conditioned to density,
motility regulation can either lead to an absorbing phase transition, where all
particles freeze their dynamics, or to atypical phase separation, where flat interfaces
supporting a net pressure drop are in mechanical equilibrium. Fully active and
fully arrested particles can then form heterogeneous patterns ruled by the competition
between quorum sensing and mechanical interactions. Beyond the specifics of motile
colloids, we expect our findings to apply broadly to adaptive active matter assembled
from living or synthetic units.
article_number: '031050'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Thibault
full_name: Lefranc, Thibault
last_name: Lefranc
- first_name: Alberto
full_name: Dinelli, Alberto
last_name: Dinelli
- first_name: Carla
full_name: Fernández-Rico, Carla
id: 492def71-6250-11f0-b278-d41dbd241b62
last_name: Fernández-Rico
- first_name: Roel P. A.
full_name: Dullens, Roel P. A.
last_name: Dullens
- first_name: Julien
full_name: Tailleur, Julien
last_name: Tailleur
- first_name: Denis
full_name: Bartolo, Denis
last_name: Bartolo
citation:
ama: Lefranc T, Dinelli A, Fernández-Rico C, Dullens RPA, Tailleur J, Bartolo D.
Synthetic quorum sensing and absorbing phase transitions in colloidal active matter.
Physical Review X. 2025;15(3). doi:10.1103/8csn-71jk
apa: Lefranc, T., Dinelli, A., Fernández-Rico, C., Dullens, R. P. A., Tailleur,
J., & Bartolo, D. (2025). Synthetic quorum sensing and absorbing phase transitions
in colloidal active matter. Physical Review X. American Physical Society.
https://doi.org/10.1103/8csn-71jk
chicago: Lefranc, Thibault, Alberto Dinelli, Carla Fernández-Rico, Roel P. A. Dullens,
Julien Tailleur, and Denis Bartolo. “Synthetic Quorum Sensing and Absorbing Phase
Transitions in Colloidal Active Matter.” Physical Review X. American Physical
Society, 2025. https://doi.org/10.1103/8csn-71jk.
ieee: T. Lefranc, A. Dinelli, C. Fernández-Rico, R. P. A. Dullens, J. Tailleur,
and D. Bartolo, “Synthetic quorum sensing and absorbing phase transitions in colloidal
active matter,” Physical Review X, vol. 15, no. 3. American Physical Society,
2025.
ista: Lefranc T, Dinelli A, Fernández-Rico C, Dullens RPA, Tailleur J, Bartolo D.
2025. Synthetic quorum sensing and absorbing phase transitions in colloidal active
matter. Physical Review X. 15(3), 031050.
mla: Lefranc, Thibault, et al. “Synthetic Quorum Sensing and Absorbing Phase Transitions
in Colloidal Active Matter.” Physical Review X, vol. 15, no. 3, 031050,
American Physical Society, 2025, doi:10.1103/8csn-71jk.
short: T. Lefranc, A. Dinelli, C. Fernández-Rico, R.P.A. Dullens, J. Tailleur, D.
Bartolo, Physical Review X 15 (2025).
date_created: 2026-06-30T06:32:31Z
date_published: 2025-08-22T00:00:00Z
date_updated: 2026-07-15T07:21:38Z
day: '22'
ddc:
- '530'
doi: 10.1103/8csn-71jk
extern: '1'
external_id:
arxiv:
- '2502.13919'
has_accepted_license: '1'
intvolume: ' 15'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1103/8csn-71jk
month: '08'
oa: 1
oa_version: Published Version
publication: Physical Review X
publication_identifier:
issn:
- 2160-3308
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Synthetic quorum sensing and absorbing phase transitions in colloidal active
matter
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 15
year: '2025'
...
---
OA_type: closed access
_id: '22214'
abstract:
- lang: eng
text: Highly interconnected percolated networks are interesting structures for materials
with enhanced transport and mechanical properties. While percolated networks of
anisotropic particles have been explored at the nanoscale, achieving highly interconnected
structures at the microscale remains challenging. In this work, we explore the
controlled assembly of rod-like polymer colloids under external fields leading
to reversible quasi-2D networks. By varying voltage and frequency, we modulate
the pore size and thickness of the network. We find that field-driven attractive
interactions enable percolation at lower area fractions than predicted for non-interacting
rods. Monte Carlo simulations incorporating dipolar interactions and electrostatic
boundary conditions confirm the field-induced transition from isotropic to aligned
rod configurations, supporting the emergence of percolated networks. This work
presents a simple and robust approach for assembling reconfigurable colloidal
networks with controlled connectivity, offering new strategies for designing adaptive
soft materials.
article_processing_charge: No
article_type: original
author:
- first_name: José
full_name: Fojo, José
last_name: Fojo
- first_name: Rodolfo
full_name: Subert, Rodolfo
last_name: Subert
- first_name: Laura
full_name: Rodríguez-Arco, Laura
last_name: Rodríguez-Arco
- first_name: Modesto T.
full_name: López-López, Modesto T.
last_name: López-López
- first_name: Marjolein
full_name: Dijkstra, Marjolein
last_name: Dijkstra
- first_name: Carla
full_name: Fernández-Rico, Carla
id: 492def71-6250-11f0-b278-d41dbd241b62
last_name: Fernández-Rico
- first_name: Laura
full_name: Alvarez, Laura
last_name: Alvarez
citation:
ama: Fojo J, Subert R, Rodríguez-Arco L, et al. Field-driven reversible networks
from colloidal rods. Soft Matter. 2025;21(23):4596-4605. doi:10.1039/d5sm00218d
apa: Fojo, J., Subert, R., Rodríguez-Arco, L., López-López, M. T., Dijkstra, M.,
Fernández-Rico, C., & Alvarez, L. (2025). Field-driven reversible networks
from colloidal rods. Soft Matter. Royal Society of Chemistry. https://doi.org/10.1039/d5sm00218d
chicago: Fojo, José, Rodolfo Subert, Laura Rodríguez-Arco, Modesto T. López-López,
Marjolein Dijkstra, Carla Fernández-Rico, and Laura Alvarez. “Field-Driven Reversible
Networks from Colloidal Rods.” Soft Matter. Royal Society of Chemistry,
2025. https://doi.org/10.1039/d5sm00218d.
ieee: J. Fojo et al., “Field-driven reversible networks from colloidal rods,”
Soft Matter, vol. 21, no. 23. Royal Society of Chemistry, pp. 4596–4605,
2025.
ista: Fojo J, Subert R, Rodríguez-Arco L, López-López MT, Dijkstra M, Fernández-Rico
C, Alvarez L. 2025. Field-driven reversible networks from colloidal rods. Soft
Matter. 21(23), 4596–4605.
mla: Fojo, José, et al. “Field-Driven Reversible Networks from Colloidal Rods.”
Soft Matter, vol. 21, no. 23, Royal Society of Chemistry, 2025, pp. 4596–605,
doi:10.1039/d5sm00218d.
short: J. Fojo, R. Subert, L. Rodríguez-Arco, M.T. López-López, M. Dijkstra, C.
Fernández-Rico, L. Alvarez, Soft Matter 21 (2025) 4596–4605.
date_created: 2026-06-30T06:32:50Z
date_published: 2025-06-21T00:00:00Z
date_updated: 2026-07-15T07:37:27Z
day: '21'
doi: 10.1039/d5sm00218d
extern: '1'
external_id:
pmid:
- '40314070'
intvolume: ' 21'
issue: '23'
language:
- iso: eng
month: '06'
oa_version: None
page: 4596-4605
pmid: 1
publication: Soft Matter
publication_identifier:
eissn:
- 1744-6848
issn:
- 1744-683X
publication_status: published
publisher: Royal Society of Chemistry
quality_controlled: '1'
scopus_import: '1'
status: public
title: Field-driven reversible networks from colloidal rods
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 21
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '12311'
abstract:
- lang: eng
text: In this note, we prove a formula for the cancellation exponent kv,n between
division polynomials ψn and ϕn associated with a sequence {nP}n∈N of points
on an elliptic curve E defined over a discrete valuation field K. The formula
greatly generalizes the previously known special cases and treats also the case
of non-standard Kodaira types for non-perfect residue fields.
acknowledgement: Silverman, and Paul Voutier for the comments on the earlier version
of this paper. The first author acknowledges the support by Dioscuri programme initiated
by the Max Planck Society, jointly managed with the National Science Centre (Poland),
and mutually funded by the Polish Ministry of Science and Higher Education and the
German Federal Ministry of Education and Research. The second author has been supported
by MIUR (Italy) through PRIN 2017 ‘Geometric, algebraic and analytic methods in
arithmetic’ and has received funding from the European Union's Horizon 2020 research
and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 101034413.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Bartosz
full_name: Naskręcki, Bartosz
last_name: Naskręcki
- first_name: Matteo
full_name: Verzobio, Matteo
id: 7aa8f170-131e-11ed-88e1-a9efd01027cb
last_name: Verzobio
orcid: 0000-0002-0854-0306
citation:
ama: 'Naskręcki B, Verzobio M. Common valuations of division polynomials. Proceedings
of the Royal Society of Edinburgh Section A: Mathematics. 2025;155(5):1646-1660.
doi:10.1017/prm.2024.7'
apa: 'Naskręcki, B., & Verzobio, M. (2025). Common valuations of division polynomials.
Proceedings of the Royal Society of Edinburgh Section A: Mathematics. Cambridge
University Press. https://doi.org/10.1017/prm.2024.7'
chicago: 'Naskręcki, Bartosz, and Matteo Verzobio. “Common Valuations of Division
Polynomials.” Proceedings of the Royal Society of Edinburgh Section A: Mathematics.
Cambridge University Press, 2025. https://doi.org/10.1017/prm.2024.7.'
ieee: 'B. Naskręcki and M. Verzobio, “Common valuations of division polynomials,”
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, vol.
155, no. 5. Cambridge University Press, pp. 1646–1660, 2025.'
ista: 'Naskręcki B, Verzobio M. 2025. Common valuations of division polynomials.
Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 155(5),
1646–1660.'
mla: 'Naskręcki, Bartosz, and Matteo Verzobio. “Common Valuations of Division Polynomials.”
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, vol.
155, no. 5, Cambridge University Press, 2025, pp. 1646–60, doi:10.1017/prm.2024.7.'
short: 'B. Naskręcki, M. Verzobio, Proceedings of the Royal Society of Edinburgh
Section A: Mathematics 155 (2025) 1646–1660.'
corr_author: '1'
das_tickbox: '0'
date_created: 2023-01-16T11:45:22Z
date_published: 2025-10-01T00:00:00Z
date_updated: 2026-07-16T08:43:40Z
day: '01'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.1017/prm.2024.7
ec_funded: 1
external_id:
arxiv:
- '2203.02015'
isi:
- '001174907100001'
file:
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creator: dernst
date_created: 2025-12-30T06:45:47Z
date_updated: 2025-12-30T06:45:47Z
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file_size: 477624
relation: main_file
success: 1
file_date_updated: 2025-12-30T06:45:47Z
has_accepted_license: '1'
intvolume: ' 155'
isi: 1
issue: '5'
keyword:
- Elliptic curves
- Néron models
- division polynomials
- height functions
- discrete valuation rings
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: 1646-1660
project:
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
call_identifier: H2020
grant_number: '101034413'
name: 'IST-BRIDGE: International postdoctoral program'
publication: 'Proceedings of the Royal Society of Edinburgh Section A: Mathematics'
publication_identifier:
eissn:
- 1473-7124
issn:
- 0308-2105
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
researchdata_availability: no
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status: public
supplementarymaterial: no
title: Common valuations of division polynomials
tmp:
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legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 155
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '20797'
abstract:
- lang: eng
text: Quantum key distribution (QKD) offers a theoretically secure method to share
secret keys, yet practical implementations face challenges due to noise and loss
over long-distance channels. Traditional QKD protocols require extensive noise
compensation, hindering their industrial scalability and lowering the achievable
key rates. Alternative protocols encode logical qubits in noise-resilient states
but at the cost of using many physical qubits, increasing susceptibility to loss
and limiting transmission distance. In this work, we introduce a logical-qubit
encoding that uses antisymmetric Bell states in the continuous photonic degrees
of freedom, frequency and time. By leveraging the continuous space, we overcome
this noise-loss robustness trade-off by minimizing the number of photons per logical
qubit while optimizing the encoding resilience over noise fluctuations. We analyze
the security of our encoding and demonstrate its robustness compared to existing
state-of-the-art protocols. This approach provides a path toward scalable, efficient
QKD implementations under realistic noise conditions.
acknowledgement: We thank B. Baragiola, A. Boubriak, M. Clark, M. Jones, and P. Skrzypczyk
for useful discussions. H.S. acknowledges financial support from EPSRC Quantum Engineering
Centre for Doctoral Training Grant No. EP/SO23607/1. E.L. acknowledges support from
the Engineering and Physical Sciences Research Council (EPSRC) Hub in Quantum Computing
and Simulation (EP/T001062/1). T.S. acknowledges that they received no funding in
support of this research. M.P.S. acknowledges support from the EPSRC Quantum Engineering
Centre for Doctoral Training EP/SO23607/1 and the European Commission through Starting
Grant No. ERC-2018-STG803665 (PEQEM). G.R. acknowledges support from the Royal Commission
for the Exhibition of 1851 through a Research Fellowship, from the European Commission
through Starting Grant No. ERC-2018-STG803665 (PEQEM) and Advanced Grant No. ERC-2020-ADG101021085
(FLQuant), and from EPSRC through Standard Proposal Grant No. EP/X016218/1 (Mono-Squeeze).
article_number: '024072'
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Hannah
full_name: Seabrook, Hannah
last_name: Seabrook
- first_name: Emilien
full_name: Lavie, Emilien
last_name: Lavie
- first_name: Karl T
full_name: Strömberg, Karl T
id: 68011cd2-da32-11ee-a930-b2774c7aba5f
last_name: Strömberg
- first_name: Matthew P.
full_name: Stafford, Matthew P.
last_name: Stafford
- first_name: Giulia
full_name: Rubino, Giulia
last_name: Rubino
citation:
ama: Seabrook H, Lavie E, Strömberg KT, Stafford MP, Rubino G. Surpassing the loss-noise
robustness trade-off in quantum key distribution. Physical Review Applied.
2025;24(2). doi:10.1103/xq2l-r4r7
apa: Seabrook, H., Lavie, E., Strömberg, K. T., Stafford, M. P., & Rubino, G.
(2025). Surpassing the loss-noise robustness trade-off in quantum key distribution.
Physical Review Applied. American Physical Society. https://doi.org/10.1103/xq2l-r4r7
chicago: Seabrook, Hannah, Emilien Lavie, Karl T Strömberg, Matthew P. Stafford,
and Giulia Rubino. “Surpassing the Loss-Noise Robustness Trade-off in Quantum
Key Distribution.” Physical Review Applied. American Physical Society,
2025. https://doi.org/10.1103/xq2l-r4r7.
ieee: H. Seabrook, E. Lavie, K. T. Strömberg, M. P. Stafford, and G. Rubino, “Surpassing
the loss-noise robustness trade-off in quantum key distribution,” Physical
Review Applied, vol. 24, no. 2. American Physical Society, 2025.
ista: Seabrook H, Lavie E, Strömberg KT, Stafford MP, Rubino G. 2025. Surpassing
the loss-noise robustness trade-off in quantum key distribution. Physical Review
Applied. 24(2), 024072.
mla: Seabrook, Hannah, et al. “Surpassing the Loss-Noise Robustness Trade-off in
Quantum Key Distribution.” Physical Review Applied, vol. 24, no. 2, 024072,
American Physical Society, 2025, doi:10.1103/xq2l-r4r7.
short: H. Seabrook, E. Lavie, K.T. Strömberg, M.P. Stafford, G. Rubino, Physical
Review Applied 24 (2025).
das_tickbox: '1'
dataavailabilitystatement: 'The data that support the findings of this article are
openly available at https://github.com/hmis4/SurpassingLNTradeOffQKD; https://github.com/hmis4/SurpassingLNTradeOffQKD/tree/main/DomainEngineering '
date_created: 2025-12-11T10:46:28Z
date_published: 2025-08-29T00:00:00Z
date_updated: 2026-07-16T08:27:32Z
day: '29'
ddc:
- '530'
department:
- _id: OnHo
doi: 10.1103/xq2l-r4r7
external_id:
arxiv:
- '2412.08694'
file:
- access_level: open_access
checksum: 12ddb0414780f65b8e690fe0e6cfb95e
content_type: application/pdf
creator: dernst
date_created: 2025-12-15T09:39:12Z
date_updated: 2025-12-15T09:39:12Z
file_id: '20824'
file_name: 2025_PhysReviewApplied_Seabrook.pdf
file_size: 3028735
relation: main_file
success: 1
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has_accepted_license: '1'
intvolume: ' 24'
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language:
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month: '08'
oa: 1
oa_version: Published Version
publication: Physical Review Applied
publication_identifier:
eissn:
- 2331-7019
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
researchdata_availability: yes
scopus_import: '1'
status: public
supplementarymaterial: no
title: Surpassing the loss-noise robustness trade-off in quantum key distribution
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
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year: '2025'
...
---
OA_place: publisher
OA_type: diamond
PlanS_conform: '1'
_id: '21244'
abstract:
- lang: eng
text: 'Given a family of varieties over the projective line, we study the density
of fibres that are everywhere locally soluble in the case that components of higher
multiplicity are allowed. We use log geometry to formulate a new sparsity criterion
for the existence of everywhere locally soluble fibres and formulate new conjectures
that generalise previous work of Loughran and Smeets. These conjectures involve
geometric invariants of the associated multiplicity orbifolds on the base of the
fibration in the spirit of Campana. We give evidence for the conjectures by providing
an assortment of bounds using Chebotarev’s theorem and sieve methods, with most
of the evidence involving upper bounds. '
acknowledgement: We are very grateful to Tim Santens for useful conversations and
to the anonymous referees for numerous pertinent remarks. While working on this
paper, Browning was supported by a FWF grant (DOI 10.55776/P32428), Lyczak was supported
by UKRI MR/V021362/1, and Smeets was supported by grant G0B1721N of the Fund for
Scientific Research – Flanders.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Timothy D
full_name: Browning, Timothy D
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
- first_name: Julian
full_name: Lyczak, Julian
last_name: Lyczak
- first_name: Arne
full_name: Smeets, Arne
last_name: Smeets
citation:
ama: Browning TD, Lyczak J, Smeets A. Paucity of rational points on fibrations with
multiple fibres. Algebra & Number Theory. 2025;19(10):2049-2090. doi:10.2140/ant.2025.19.2049
apa: Browning, T. D., Lyczak, J., & Smeets, A. (2025). Paucity of rational points
on fibrations with multiple fibres. Algebra & Number Theory. Mathematical
Sciences Publishers. https://doi.org/10.2140/ant.2025.19.2049
chicago: Browning, Timothy D, Julian Lyczak, and Arne Smeets. “Paucity of Rational
Points on Fibrations with Multiple Fibres.” Algebra & Number Theory.
Mathematical Sciences Publishers, 2025. https://doi.org/10.2140/ant.2025.19.2049.
ieee: T. D. Browning, J. Lyczak, and A. Smeets, “Paucity of rational points on fibrations
with multiple fibres,” Algebra & Number Theory, vol. 19, no. 10. Mathematical
Sciences Publishers, pp. 2049–2090, 2025.
ista: Browning TD, Lyczak J, Smeets A. 2025. Paucity of rational points on fibrations
with multiple fibres. Algebra & Number Theory. 19(10), 2049–2090.
mla: Browning, Timothy D., et al. “Paucity of Rational Points on Fibrations with
Multiple Fibres.” Algebra & Number Theory, vol. 19, no. 10, Mathematical
Sciences Publishers, 2025, pp. 2049–90, doi:10.2140/ant.2025.19.2049.
short: T.D. Browning, J. Lyczak, A. Smeets, Algebra & Number Theory 19 (2025)
2049–2090.
corr_author: '1'
das_tickbox: '0'
date_created: 2026-02-16T15:22:19Z
date_published: 2025-09-05T00:00:00Z
date_updated: 2026-07-16T08:52:36Z
day: '05'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.2140/ant.2025.19.2049
external_id:
arxiv:
- '2310.01135'
file:
- access_level: open_access
checksum: e50a60a4303b81563f7adbcadbe2e986
content_type: application/pdf
creator: dernst
date_created: 2026-02-17T11:56:20Z
date_updated: 2026-02-17T11:56:20Z
file_id: '21300'
file_name: 2025_AlgebraNumberTheory_Browning.pdf
file_size: 1505580
relation: main_file
success: 1
file_date_updated: 2026-02-17T11:56:20Z
has_accepted_license: '1'
intvolume: ' 19'
issue: '10'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: 2049-2090
project:
- _id: 26AEDAB2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P32428
name: New frontiers of the Manin conjecture
publication: Algebra & Number Theory
publication_identifier:
eissn:
- 1944-7833
issn:
- 1937-0652
publication_status: published
publisher: Mathematical Sciences Publishers
quality_controlled: '1'
researchdata_availability: no
status: public
supplementarymaterial: no
title: Paucity of rational points on fibrations with multiple fibres
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 19
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
_id: '20850'
abstract:
- lang: eng
text: We provide an estimate for the number of nontrivial integer points on the
Pellian surface t^2 - du^2 = 1 in a bounded region. We give a lower bound on the
size of fundamental solutions for almost all d in a certain class, based on a
recent conjecture of Browning and Wilsch about integer points on log K3 surfaces.
We also obtain an upper bound on the average of class number in this class, assuming
the same conjecture.
- lang: fre
text: "Nous donnons une estimation du nombre de points entiers non triviaux sur
la surface pellienne \r\nt^2 - du^2 = 1 dans une région bornée. Nous établissons
une borne inférieure pour la taille des solutions fondamentales pour presque tout
d appartenant à une certaine classe, en nous fondant sur une conjecture récente
de Browning et Wilsch concernant les points entiers sur les surfaces log K3. Nous
obtenons également une borne supérieure pour la moyenne du nombre de classes dans
cette classe, sous la même hypothèse conjecturale."
acknowledgement: The author would like to thank his supervisor Tim Browning for suggesting
this project and many helpful conversations and useful comments. Moreover, he is
grateful to Jakob Glas, Damaris Schindler, Igor Shparlinski, Matteo Verzobio, Victor
Wang, Florian Wilsch and Shuntaro Yamagishi for taking their time to answer his
questions and their valuable suggestions.
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Yijie
full_name: Diao, Yijie
id: 7b7eb4ca-eb2c-11ec-b98b-accec0b20c3b
last_name: Diao
orcid: 0000-0002-4989-5330
citation:
ama: Diao Y. Class numbers and integer points on some Pellian surfaces. Journal
de theorie des nombres de Bordeaux. 2025;37(3):973-988. doi:10.5802/jtnb.1348
apa: Diao, Y. (2025). Class numbers and integer points on some Pellian surfaces.
Journal de Theorie Des Nombres de Bordeaux. Université de Bordeaux. https://doi.org/10.5802/jtnb.1348
chicago: Diao, Yijie. “Class Numbers and Integer Points on Some Pellian Surfaces.”
Journal de Theorie Des Nombres de Bordeaux. Université de Bordeaux, 2025.
https://doi.org/10.5802/jtnb.1348.
ieee: Y. Diao, “Class numbers and integer points on some Pellian surfaces,” Journal
de theorie des nombres de Bordeaux, vol. 37, no. 3. Université de Bordeaux,
pp. 973–988, 2025.
ista: Diao Y. 2025. Class numbers and integer points on some Pellian surfaces. Journal
de theorie des nombres de Bordeaux. 37(3), 973–988.
mla: Diao, Yijie. “Class Numbers and Integer Points on Some Pellian Surfaces.” Journal
de Theorie Des Nombres de Bordeaux, vol. 37, no. 3, Université de Bordeaux,
2025, pp. 973–88, doi:10.5802/jtnb.1348.
short: Y. Diao, Journal de Theorie Des Nombres de Bordeaux 37 (2025) 973–988.
corr_author: '1'
das_tickbox: '0'
date_created: 2025-12-21T23:01:35Z
date_published: 2025-11-27T00:00:00Z
date_updated: 2026-07-16T08:45:12Z
day: '27'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.5802/jtnb.1348
external_id:
arxiv:
- '2408.03774'
file:
- access_level: open_access
checksum: 67aa0afbc0b5bcbff5341f4d25e6ba20
content_type: application/pdf
creator: dernst
date_created: 2025-12-29T10:05:22Z
date_updated: 2025-12-29T10:05:22Z
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has_accepted_license: '1'
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issue: '3'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nd/4.0/
month: '11'
oa: 1
oa_version: Published Version
page: 973-988
publication: Journal de theorie des nombres de Bordeaux
publication_identifier:
eissn:
- 2118-8572
issn:
- 1246-7405
publication_status: published
publisher: Université de Bordeaux
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Class numbers and integer points on some Pellian surfaces
tmp:
image: /image/cc_by_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nd/4.0/legalcode
name: Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)
short: CC BY-ND (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 37
year: '2025'
...
---
OA_place: publisher
OA_type: diamond
_id: '21003'
abstract:
- lang: eng
text: We extend work of Heath-Brown and Salberger, based on the determinant method,
to provide a uniform upper bound for the number of integral points of bounded
height on an affine surface, which are subject to a polynomial congruence condition.
This is applied to get a new uniform bound for points on diagonal quadric surfaces,
and to a problem about the representation of integers as a sum of four unlike
powers.
acknowledgement: "Supported by FWF grant (DOI 10.55776/P36278), Supported by European
Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie
Grant\r\nAgreement No. 101034413."
article_number: '12'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Timothy D
full_name: Browning, Timothy D
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
- first_name: Matteo
full_name: Verzobio, Matteo
id: 7aa8f170-131e-11ed-88e1-a9efd01027cb
last_name: Verzobio
orcid: 0000-0002-0854-0306
citation:
ama: Browning TD, Verzobio M. Counting integer points on affine surfaces with a
side condition. Discrete Analysis. 2025;2025. doi:10.19086/da.143787
apa: 'Browning, T. D., & Verzobio, M. (2025). Counting integer points on affine
surfaces with a side condition. Discrete Analysis. Cambridge: Alliance
of Diamond Open Access Journals. https://doi.org/10.19086/da.143787'
chicago: 'Browning, Timothy D, and Matteo Verzobio. “Counting Integer Points on
Affine Surfaces with a Side Condition.” Discrete Analysis. Cambridge: Alliance
of Diamond Open Access Journals, 2025. https://doi.org/10.19086/da.143787.'
ieee: 'T. D. Browning and M. Verzobio, “Counting integer points on affine surfaces
with a side condition,” Discrete Analysis, vol. 2025. Cambridge: Alliance
of Diamond Open Access Journals, 2025.'
ista: Browning TD, Verzobio M. 2025. Counting integer points on affine surfaces
with a side condition. Discrete Analysis. 2025, 12.
mla: 'Browning, Timothy D., and Matteo Verzobio. “Counting Integer Points on Affine
Surfaces with a Side Condition.” Discrete Analysis, vol. 2025, 12, Cambridge:
Alliance of Diamond Open Access Journals, 2025, doi:10.19086/da.143787.'
short: T.D. Browning, M. Verzobio, Discrete Analysis 2025 (2025).
corr_author: '1'
das_tickbox: '0'
date_created: 2026-01-18T23:02:44Z
date_published: 2025-09-01T00:00:00Z
date_updated: 2026-07-16T08:48:35Z
day: '01'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.19086/da.143787
ec_funded: 1
external_id:
arxiv:
- '2408.11453'
file:
- access_level: open_access
checksum: 3d38e850b40f3e1abbfd30073bd4388a
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grant_number: P36278
name: Rational curves via function field analytic number theory
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call_identifier: H2020
grant_number: '101034413'
name: 'IST-BRIDGE: International postdoctoral program'
publication: Discrete Analysis
publication_identifier:
eissn:
- 2397-3129
publication_status: published
publisher: 'Cambridge: Alliance of Diamond Open Access Journals'
researchdata_availability: no
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status: public
supplementarymaterial: no
title: Counting integer points on affine surfaces with a side condition
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legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
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short: CC BY (4.0)
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user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
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year: '2025'
...
---
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_id: '21260'
abstract:
- lang: eng
text: We prove that there does not exist F∈Q[x,y] of degree 4 such that F(Z^2 )=Z
≥0. In particular, this answers a question by John S. Lew and Bjorn Poonen for
quartic polynomials.
acknowledgement: "The first author would like to thank Samir Siksek for introducing
the problem\r\nto him. The material in Section 6 is a result of discussing with
many people, and the second author is very grateful to Tim Browning, Stephanie Chan,
Jakob Glas, Jakub Löwit, Mirko Mauri, Marta Pieropan, Mike Roth, Matteo Verzobio
and Victor Wang for taking the time to answer his questions and for their valuable
suggestions. We thank Tim Browning, Yijie Diao, Ana Marija Vego and the anonymous
referee for their helpful comments.\r\nThe first author was supported by NSERC Discovery
Grant RGPIN-2024-06810. The\r\nsecond author was supported by the NWO Veni Grant
016.Veni.192.047 during his time at\r\nUtrecht University and by a FWF grant (DOI
10.55776/P32428) at the Institute of Science and\r\nTechnology Austria while working
on this paper."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Stanley
full_name: Yao Xiao, Stanley
last_name: Yao Xiao
- first_name: Shuntaro
full_name: Yamagishi, Shuntaro
id: 0c3fbc5c-f7a6-11ec-8d70-9485e75b416b
last_name: Yamagishi
citation:
ama: Yao Xiao S, Yamagishi S. Quartic polynomials in two variables do not represent
all non-negative integers. Journal of the European Mathematical Society.
2025. doi:10.4171/jems/1697
apa: Yao Xiao, S., & Yamagishi, S. (2025). Quartic polynomials in two variables
do not represent all non-negative integers. Journal of the European Mathematical
Society. EMS Press. https://doi.org/10.4171/jems/1697
chicago: Yao Xiao, Stanley, and Shuntaro Yamagishi. “Quartic Polynomials in Two
Variables Do Not Represent All Non-Negative Integers.” Journal of the European
Mathematical Society. EMS Press, 2025. https://doi.org/10.4171/jems/1697.
ieee: S. Yao Xiao and S. Yamagishi, “Quartic polynomials in two variables do not
represent all non-negative integers,” Journal of the European Mathematical
Society. EMS Press, 2025.
ista: Yao Xiao S, Yamagishi S. 2025. Quartic polynomials in two variables do not
represent all non-negative integers. Journal of the European Mathematical Society.
mla: Yao Xiao, Stanley, and Shuntaro Yamagishi. “Quartic Polynomials in Two Variables
Do Not Represent All Non-Negative Integers.” Journal of the European Mathematical
Society, EMS Press, 2025, doi:10.4171/jems/1697.
short: S. Yao Xiao, S. Yamagishi, Journal of the European Mathematical Society (2025).
corr_author: '1'
das_tickbox: '0'
date_created: 2026-02-16T16:00:02Z
date_published: 2025-08-06T00:00:00Z
date_updated: 2026-07-16T08:54:37Z
day: '06'
ddc:
- '500'
department:
- _id: TiBr
doi: 10.4171/jems/1697
external_id:
arxiv:
- '2307.05712'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.4171/JEMS/1697
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 26AEDAB2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P32428
name: New frontiers of the Manin conjecture
publication: Journal of the European Mathematical Society
publication_identifier:
eissn:
- 1435-9863
issn:
- 1435-9855
publication_status: epub_ahead
publisher: EMS Press
quality_controlled: '1'
researchdata_availability: no
status: public
supplementarymaterial: no
title: Quartic polynomials in two variables do not represent all non-negative integers
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
_id: '18822'
abstract:
- lang: eng
text: Let N(X) be the number of integral zeros (mathematical equation). Works of
Hooley and Heath-Brown imply (mathematical equation), if one assumes automorphy
and grand Riemann hypothesis for certain Hasse–Weil L-functions. Assuming instead
a natural large sieve inequality, we recover the same bound on N(X). This is part
of a more general statement, for diagonal cubic forms in (mathematical equation)
variables, where we allow approximations to Hasse–Weil L-functions.
acknowledgement: I thank Peter Sarnak for suggesting projects that ultimately led
to the present paper. I also thank him for many encouraging discussions, helpful
comments, and references. Thanks also to Tim Browning, Trevor Wooley, and Nina Zubrilina
for helpful comments, and to Levent Alpöge and Will Sawin for some interesting old
discussions. I thank Yang Liu, Evan O'Dorney, Ashwin Sah, and Mark Sellke for conversations
illuminating the combinatorics of an older, counting version of the present Lemma
4.9. Finally, special thanks are due to the editors and referees for their patience
and help with the exposition. This work was partially supported by NSF Grant DMS-1802211,
and the European Union's Horizon 2020 research and innovation program under the
Marie Skłodowska-Curie Grant Agreement No. 101034413.
article_number: e70008
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Victor
full_name: Wang, Victor
id: 76096395-aea4-11ed-a680-ab8ebbd3f1b9
last_name: Wang
orcid: 0000-0002-0704-7026
citation:
ama: Wang V. Diagonal cubic forms and the large sieve. Mathematika. 2025;71(1).
doi:10.1112/mtk.70008
apa: Wang, V. (2025). Diagonal cubic forms and the large sieve. Mathematika.
London Mathematical Society. https://doi.org/10.1112/mtk.70008
chicago: Wang, Victor. “Diagonal Cubic Forms and the Large Sieve.” Mathematika.
London Mathematical Society, 2025. https://doi.org/10.1112/mtk.70008.
ieee: V. Wang, “Diagonal cubic forms and the large sieve,” Mathematika, vol.
71, no. 1. London Mathematical Society, 2025.
ista: Wang V. 2025. Diagonal cubic forms and the large sieve. Mathematika. 71(1),
e70008.
mla: Wang, Victor. “Diagonal Cubic Forms and the Large Sieve.” Mathematika,
vol. 71, no. 1, e70008, London Mathematical Society, 2025, doi:10.1112/mtk.70008.
short: V. Wang, Mathematika 71 (2025).
corr_author: '1'
das_tickbox: '0'
date_created: 2025-01-12T23:04:01Z
date_published: 2025-01-02T00:00:00Z
date_updated: 2026-07-16T09:14:24Z
day: '02'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.1112/mtk.70008
ec_funded: 1
external_id:
isi:
- '001388255500001'
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month: '01'
oa: 1
oa_version: Published Version
project:
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call_identifier: H2020
grant_number: '101034413'
name: 'IST-BRIDGE: International postdoctoral program'
publication: Mathematika
publication_identifier:
eissn:
- 2041-7942
issn:
- 0025-5793
publication_status: published
publisher: London Mathematical Society
quality_controlled: '1'
researchdata_availability: no
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status: public
supplementarymaterial: no
title: Diagonal cubic forms and the large sieve
tmp:
image: /images/cc_by.png
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name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
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...
---
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abstract:
- lang: eng
text: Let F∈Z[x1,…,xn] be a homogeneous form of degree d≥2, and V∗F the singular
locus of the hypersurface {x∈AnC:F(x)=0}. A longstanding result of Birch states
that there is a non-trivial integral solution to the equation F(x1,…,xn)=0 provided
n>dimV∗F+(d−1)2d, and there is a non-singular solution in R and Qp for all primes
p. We give a different formulation of this result. More precisely, we replace
dimV∗F with a quantity HF defined in terms of the Hessian matrix of F. This quantity
satisfies 0≤HF≤dimV∗F; therefore, we improve on the aforementioned result of Birch
if HFActa Arithmetica. 2025;221(2):141-151. doi:10.4064/aa241029-19-8
apa: Yamagishi, S. (2025). Birch’s theorem on forms in many variables with a Hessian
condition. Acta Arithmetica. Instytut Matematyczny. https://doi.org/10.4064/aa241029-19-8
chicago: Yamagishi, Shuntaro. “Birch’s Theorem on Forms in Many Variables with a
Hessian Condition.” Acta Arithmetica. Instytut Matematyczny, 2025. https://doi.org/10.4064/aa241029-19-8.
ieee: S. Yamagishi, “Birch’s theorem on forms in many variables with a Hessian condition,”
Acta Arithmetica, vol. 221, no. 2. Instytut Matematyczny, pp. 141–151,
2025.
ista: Yamagishi S. 2025. Birch’s theorem on forms in many variables with a Hessian
condition. Acta Arithmetica. 221(2), 141–151.
mla: Yamagishi, Shuntaro. “Birch’s Theorem on Forms in Many Variables with a Hessian
Condition.” Acta Arithmetica, vol. 221, no. 2, Instytut Matematyczny, 2025,
pp. 141–51, doi:10.4064/aa241029-19-8.
short: S. Yamagishi, Acta Arithmetica 221 (2025) 141–151.
corr_author: '1'
das_tickbox: '0'
date_created: 2026-04-26T22:01:48Z
date_published: 2025-10-28T00:00:00Z
date_updated: 2026-07-16T09:04:43Z
day: '28'
department:
- _id: TiBr
doi: 10.4064/aa241029-19-8
external_id:
arxiv:
- '2304.02620'
intvolume: ' 221'
issue: '2'
keyword:
- Diophantine equations
- homogeneous forms
language:
- iso: eng
main_file_link:
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url: https://doi.org/10.48550/arXiv.2304.02620
month: '10'
oa: 1
oa_version: Preprint
page: 141-151
project:
- _id: bd8a4fdc-d553-11ed-ba76-80a0167441a3
grant_number: P36278
name: Rational curves via function field analytic number theory
publication: Acta Arithmetica
publication_identifier:
eissn:
- 1730-6264
issn:
- 0065-1036
publication_status: published
publisher: Instytut Matematyczny
quality_controlled: '1'
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status: public
supplementarymaterial: no
title: Birch’s theorem on forms in many variables with a Hessian condition
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volume: 221
year: '2025'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: diamond
_id: '21266'
abstract:
- lang: eng
text: "For a given elliptic curve E in short Weierstrass form, we show that almost
all quadratic twists E \r\nD have no integral points, as D ranges over square-free
integers ordered by size. Our result is conditional on a weak form of the Hall–Lang
conjecture in the case that E has partial 2-torsion. The proof uses a correspondence
of Mordell and the reduction theory of binary quartic forms in order to transfer
the problem to counting rational points of bounded height on a certain singular
cubic surface, together with extensive use of cancellation in character sum estimates,
drawn from Heath-Brown’s analysis of Selmer group statistics for the congruent
number curve."
acknowledgement: The authors are grateful to Roger Heath-Brown and to the anonymous
referees for useful comments. The first author was supported by an FWF grant (DOI
10.55776/P36278).
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Timothy D
full_name: Browning, Timothy D
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
- first_name: Yik Tung
full_name: Chan, Yik Tung
id: c4c0afc8-9262-11ed-9231-d8b0bc743af1
last_name: Chan
orcid: 0000-0001-8467-4106
citation:
ama: Browning TD, Chan S. Almost all quadratic twists of an elliptic curve have
no integral points. Journal of the European Mathematical Society. 2025.
doi:10.4171/jems/1704
apa: Browning, T. D., & Chan, S. (2025). Almost all quadratic twists of an elliptic
curve have no integral points. Journal of the European Mathematical Society.
EMS Press. https://doi.org/10.4171/jems/1704
chicago: Browning, Timothy D, and Stephanie Chan. “Almost All Quadratic Twists of
an Elliptic Curve Have No Integral Points.” Journal of the European Mathematical
Society. EMS Press, 2025. https://doi.org/10.4171/jems/1704.
ieee: T. D. Browning and S. Chan, “Almost all quadratic twists of an elliptic curve
have no integral points,” Journal of the European Mathematical Society.
EMS Press, 2025.
ista: Browning TD, Chan S. 2025. Almost all quadratic twists of an elliptic curve
have no integral points. Journal of the European Mathematical Society.
mla: Browning, Timothy D., and Stephanie Chan. “Almost All Quadratic Twists of an
Elliptic Curve Have No Integral Points.” Journal of the European Mathematical
Society, EMS Press, 2025, doi:10.4171/jems/1704.
short: T.D. Browning, S. Chan, Journal of the European Mathematical Society (2025).
corr_author: '1'
das_tickbox: '0'
date_created: 2026-02-17T07:46:26Z
date_published: 2025-09-17T00:00:00Z
date_updated: 2026-07-16T09:00:02Z
day: '17'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.4171/jems/1704
external_id:
arxiv:
- '2401.04375'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.4171/JEMS/1704
month: '09'
oa: 1
oa_version: Published Version
project:
- _id: bd8a4fdc-d553-11ed-ba76-80a0167441a3
grant_number: P36278
name: Rational curves via function field analytic number theory
publication: Journal of the European Mathematical Society
publication_identifier:
eissn:
- 1435-9863
issn:
- 1435-9855
publication_status: epub_ahead
publisher: EMS Press
quality_controlled: '1'
researchdata_availability: no
status: public
supplementarymaterial: no
title: Almost all quadratic twists of an elliptic curve have no integral points
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '21265'
abstract:
- lang: eng
text: We explain how the (shifted) Ratios Conjecture for $L(s,\chi )$ would extend
a randomization argument of Harper from a conductor-limited range to an unlimited
range of “beyond square-root cancellation” for character twists of the Liouville
function. As a corollary, the Liouville function would have nontrivial cancellation
in arithmetic progressions of modulus just exceeding the well-known square-root
barrier. Morally, the paper passes from random matrices to random multiplicative
functions.
acknowledgement: The first author is supported by the European Union’s Horizon 2020
research and innovation program under the Marie Skłodowska-Curie Grant Agreement
No. 101034413. The second author is supported by a Simons Junior Fellowship from
Simons Foundation. We thank Paul Bourgade and Kannan Soundararajan for discussions
on random matrices and probability, Alexandra Florea for helpful comments on the
Ratios Conjecture, and Joni Teräväinen for providing several references. We are
also grateful to Alexandra Florea, Adam Harper, Joni Teräväinen, and the referee
for helpful comments on earlier drafts.
article_number: rnaf279
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Victor
full_name: Wang, Victor
id: 76096395-aea4-11ed-a680-ab8ebbd3f1b9
last_name: Wang
orcid: 0000-0002-0704-7026
- first_name: Max Wenqiang
full_name: Xu, Max Wenqiang
last_name: Xu
citation:
ama: Wang V, Xu MW. Harper’s beyond square-root conjecture. International Mathematics
Research Notices. 2025;2025(18). doi:10.1093/imrn/rnaf279
apa: Wang, V., & Xu, M. W. (2025). Harper’s beyond square-root conjecture. International
Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnaf279
chicago: Wang, Victor, and Max Wenqiang Xu. “Harper’s beyond Square-Root Conjecture.”
International Mathematics Research Notices. Oxford University Press, 2025.
https://doi.org/10.1093/imrn/rnaf279.
ieee: V. Wang and M. W. Xu, “Harper’s beyond square-root conjecture,” International
Mathematics Research Notices, vol. 2025, no. 18. Oxford University Press,
2025.
ista: Wang V, Xu MW. 2025. Harper’s beyond square-root conjecture. International
Mathematics Research Notices. 2025(18), rnaf279.
mla: Wang, Victor, and Max Wenqiang Xu. “Harper’s beyond Square-Root Conjecture.”
International Mathematics Research Notices, vol. 2025, no. 18, rnaf279,
Oxford University Press, 2025, doi:10.1093/imrn/rnaf279.
short: V. Wang, M.W. Xu, International Mathematics Research Notices 2025 (2025).
das_tickbox: '0'
date_created: 2026-02-17T07:45:45Z
date_published: 2025-09-01T00:00:00Z
date_updated: 2026-07-16T08:57:40Z
day: '01'
department:
- _id: TiBr
doi: 10.1093/imrn/rnaf279
ec_funded: 1
external_id:
arxiv:
- '2405.04094'
intvolume: ' 2025'
issue: '18'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2405.04094
month: '09'
oa: 1
oa_version: Preprint
project:
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
call_identifier: H2020
grant_number: '101034413'
name: 'IST-BRIDGE: International postdoctoral program'
publication: International Mathematics Research Notices
publication_identifier:
eissn:
- 1687-0247
issn:
- 1073-7928
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Harper’s beyond square-root conjecture
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 2025
year: '2025'
...
---
OA_place: publisher
OA_type: diamond
PlanS_conform: '1'
_id: '19054'
abstract:
- lang: eng
text: "This work concerns asymptotical stabilisation phenomena occurring in the
moduli space of sections of certain algebraic families over a smooth projective
curve, whenever the generic fibre of the family is a smooth projective Fano variety,
or not far from being Fano.\r\n We describe the expected behaviour of the class,
in a ring of motivic integration, of the moduli space of sections of given numerical
class. Up to an adequate normalisation, it should converge, when the class of
the sections goes arbitrarily far from the boundary of the dual of the effective
cone, to an effective element given by a motivic Euler product. Such a principle
can be seen as an analogue for rational curves of the Batyrev-Manin-Peyre principle
for rational points.\r\n The central tool of this article is the property of equidistribution
of curves. We show that this notion does not depend on the choice of a model of
the generic fibre, and that equidistribution of curves holds for smooth projective
split toric varieties. As an application, we study the Batyrev-Manin-Peyre principle
for curves on a certain kind of twisted products."
acknowledgement: I am very grateful to my Ph.D. advisor Emmanuel Peyre for all the
remarks and suggestions he made during the writing of this article. I warmly thank
Margaret Bilu and Tim Browning for some valuable comments they made on a preliminary
version of this work. I would like to thank David Bourqui as well for several helpful
conversations. Finally, I thank the anonymous referee for their very careful reading
and their numerous comments and suggestions which helped me a lot in improving the
exposition, besides fixing several typos, and Elizabeth Weaver for the final editing
work. During the revision process of this work, the author received funding from
the European Union’s Horizon 2020 research and innovation programme under the Marie
Skłodowska-Curie Grant Agreement No. 101034413.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Loïs
full_name: Faisant, Loïs
id: 26ca6926-5797-11ee-9232-f8b51bd19631
last_name: Faisant
citation:
ama: Faisant L. Motivic distribution of rational curves and twisted products of
toric varieties. Algebra & Number Theory. 2025;19:883-965. doi:10.2140/ant.2025.19.883
apa: Faisant, L. (2025). Motivic distribution of rational curves and twisted products
of toric varieties. Algebra & Number Theory. Mathematical Sciences
Publishers. https://doi.org/10.2140/ant.2025.19.883
chicago: Faisant, Loïs. “Motivic Distribution of Rational Curves and Twisted Products
of Toric Varieties.” Algebra & Number Theory. Mathematical Sciences
Publishers, 2025. https://doi.org/10.2140/ant.2025.19.883.
ieee: L. Faisant, “Motivic distribution of rational curves and twisted products
of toric varieties,” Algebra & Number Theory, vol. 19. Mathematical
Sciences Publishers, pp. 883–965, 2025.
ista: Faisant L. 2025. Motivic distribution of rational curves and twisted products
of toric varieties. Algebra & Number Theory. 19, 883–965.
mla: Faisant, Loïs. “Motivic Distribution of Rational Curves and Twisted Products
of Toric Varieties.” Algebra & Number Theory, vol. 19, Mathematical
Sciences Publishers, 2025, pp. 883–965, doi:10.2140/ant.2025.19.883.
short: L. Faisant, Algebra & Number Theory 19 (2025) 883–965.
corr_author: '1'
das_tickbox: '0'
date_created: 2025-02-18T13:33:14Z
date_published: 2025-04-22T00:00:00Z
date_updated: 2026-07-16T09:23:01Z
day: '22'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.2140/ant.2025.19.883
ec_funded: 1
external_id:
arxiv:
- '2302.07339'
file:
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checksum: 56299f55682528a7cd0136497ce8b383
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date_created: 2026-02-17T13:17:00Z
date_updated: 2026-02-17T13:17:00Z
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has_accepted_license: '1'
intvolume: ' 19'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: 883-965
project:
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call_identifier: H2020
grant_number: '101034413'
name: 'IST-BRIDGE: International postdoctoral program'
publication: Algebra & Number Theory
publication_identifier:
eissn:
- 1944-7833
publication_status: published
publisher: Mathematical Sciences Publishers
quality_controlled: '1'
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status: public
supplementarymaterial: no
title: Motivic distribution of rational curves and twisted products of toric varieties
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type: journal_article
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volume: 19
year: '2025'
...
---
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abstract:
- lang: eng
text: For a general family of non-negative functions matching upper and lower bounds
are established for their average over the values of any equidistributed sequence.
article_processing_charge: Yes (in subscription journal)
article_type: original
author:
- first_name: Yik Tung
full_name: Chan, Yik Tung
id: c4c0afc8-9262-11ed-9231-d8b0bc743af1
last_name: Chan
orcid: 0000-0001-8467-4106
- first_name: Peter
full_name: Koymans, Peter
last_name: Koymans
- first_name: Carlo
full_name: Pagano, Carlo
last_name: Pagano
- first_name: Efthymios
full_name: Sofos, Efthymios
last_name: Sofos
citation:
ama: Chan S, Koymans P, Pagano C, Sofos E. Averages of multiplicative functions
along equidistributed sequences. Journal of Number Theory. 2025;273:1-36.
doi:10.1016/j.jnt.2025.01.005
apa: Chan, S., Koymans, P., Pagano, C., & Sofos, E. (2025). Averages of multiplicative
functions along equidistributed sequences. Journal of Number Theory. Elsevier.
https://doi.org/10.1016/j.jnt.2025.01.005
chicago: Chan, Stephanie, Peter Koymans, Carlo Pagano, and Efthymios Sofos. “Averages
of Multiplicative Functions along Equidistributed Sequences.” Journal of Number
Theory. Elsevier, 2025. https://doi.org/10.1016/j.jnt.2025.01.005.
ieee: S. Chan, P. Koymans, C. Pagano, and E. Sofos, “Averages of multiplicative
functions along equidistributed sequences,” Journal of Number Theory, vol.
273. Elsevier, pp. 1–36, 2025.
ista: Chan S, Koymans P, Pagano C, Sofos E. 2025. Averages of multiplicative functions
along equidistributed sequences. Journal of Number Theory. 273, 1–36.
mla: Chan, Stephanie, et al. “Averages of Multiplicative Functions along Equidistributed
Sequences.” Journal of Number Theory, vol. 273, Elsevier, 2025, pp. 1–36,
doi:10.1016/j.jnt.2025.01.005.
short: S. Chan, P. Koymans, C. Pagano, E. Sofos, Journal of Number Theory 273 (2025)
1–36.
corr_author: '1'
das_tickbox: '1'
dataavailabilitystatement: No data was used for the research described in the article.
date_created: 2025-03-09T23:01:26Z
date_published: 2025-08-01T00:00:00Z
date_updated: 2026-07-16T09:26:47Z
day: '01'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.1016/j.jnt.2025.01.005
external_id:
isi:
- '001444208500001'
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checksum: 752c407eb186d391380b10a7505f66cf
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creator: dernst
date_created: 2025-12-30T08:05:42Z
date_updated: 2025-12-30T08:05:42Z
file_id: '20889'
file_name: 2025_JourNumberTheory_Chan.pdf
file_size: 685204
relation: main_file
success: 1
file_date_updated: 2025-12-30T08:05:42Z
has_accepted_license: '1'
intvolume: ' 273'
isi: 1
language:
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month: '08'
oa: 1
oa_version: Published Version
page: 1-36
publication: Journal of Number Theory
publication_identifier:
issn:
- 0022-314X
publication_status: published
publisher: Elsevier
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Averages of multiplicative functions along equidistributed sequences
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
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type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 273
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '19055'
abstract:
- lang: eng
text: "Using the formalism of Cox rings and universal torsors, we prove a decomposition
of the Grothendieck motive of the moduli space of morphisms from an arbitrary
smooth projective curve to a Mori Dream Space (MDS).\r\n For the simplest cases
of MDS, that of toric varieties, we use this decomposition to prove an instance
of the motivic Batyrev--Manin--Peyre principle for curves satisfying tangency
conditions with respect to the boundary divisors, often called Campana curves."
acknowledgement: "The author acknowledges funding from the European Union’s Horizon
2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement
No 101034413.\r\n"
article_number: '2502.11704'
article_processing_charge: No
arxiv: 1
author:
- first_name: Loïs
full_name: Faisant, Loïs
id: 26ca6926-5797-11ee-9232-f8b51bd19631
last_name: Faisant
citation:
ama: Faisant L. Motivic counting of rational curves with tangency conditions via
universal torsors. arXiv. doi:10.48550/ARXIV.2502.11704
apa: Faisant, L. (n.d.). Motivic counting of rational curves with tangency conditions
via universal torsors. arXiv. https://doi.org/10.48550/ARXIV.2502.11704
chicago: Faisant, Loïs. “Motivic Counting of Rational Curves with Tangency Conditions
via Universal Torsors.” ArXiv, n.d. https://doi.org/10.48550/ARXIV.2502.11704.
ieee: L. Faisant, “Motivic counting of rational curves with tangency conditions
via universal torsors,” arXiv. .
ista: Faisant L. Motivic counting of rational curves with tangency conditions via
universal torsors. arXiv, 2502.11704.
mla: Faisant, Loïs. “Motivic Counting of Rational Curves with Tangency Conditions
via Universal Torsors.” ArXiv, 2502.11704, doi:10.48550/ARXIV.2502.11704.
short: L. Faisant, ArXiv (n.d.).
corr_author: '1'
das_tickbox: '0'
date_created: 2025-02-18T13:34:07Z
date_published: 2025-02-17T00:00:00Z
date_updated: 2026-07-16T09:24:48Z
day: '17'
department:
- _id: TiBr
doi: 10.48550/ARXIV.2502.11704
ec_funded: 1
external_id:
arxiv:
- '2502.11704'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2502.11704
month: '02'
oa: 1
oa_version: Preprint
project:
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
call_identifier: H2020
grant_number: '101034413'
name: 'IST-BRIDGE: International postdoctoral program'
publication: arXiv
publication_status: submitted
researchdata_availability: no
status: public
supplementarymaterial: no
title: Motivic counting of rational curves with tangency conditions via universal
torsors
type: preprint
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2025'
...