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79 Publications

2026 | Published | Journal Article | IST-REx-ID: 21002 | OA | PlanS
The Davenport–Heilbronn method: 80 years on
T.D. Browning, Journal of the London Mathematical Society 113 (2026).
[Published Version] View | Files available | DOI
 
2026 | Published | Journal Article | IST-REx-ID: 21242 | OA
Integral solutions to systems of diagonal equations
N. Rome, S. Yamagishi, Pacific Journal of Mathematics 340 (2026) 179–198.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2026 | Epub ahead of print | Journal Article | IST-REx-ID: 21385 | OA | PlanS
Average sizes of mixed character sums
V. Wang, M. Xu, Proceedings of the Royal Society of Edinburgh: Section A Mathematics (2026) 1–15.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 18705 | OA
On a question of Davenport and diagonal cubic forms over Fq(t)
J. Glas, L. Hochfilzer, Mathematische Annalen 391 (2025) 5485–5533.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 12311 | OA | PlanS
Common valuations of division polynomials
B. Naskręcki, M. Verzobio, Proceedings of the Royal Society of Edinburgh Section A: Mathematics 155 (2025) 1646–1660.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20078 | OA | PlanS
Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve
S. Barańczuk, B. Naskręcki, M. Verzobio, Journal of Number Theory 279 (2025) 170–183.
[Published Version] View | DOI | Download Published Version (ext.) | WoS | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 20222 | OA
Counting rational points on smooth hypersurfaces with high degree
M. Verzobio, International Mathematics Research Notices 2025 (2025).
[Published Version] View | Files available | DOI | WoS | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 20249 | OA | PlanS
Integral points on cubic surfaces: heuristics and numerics
T.D. Browning, F.A. Wilsch, Selecta Mathematica New Series 31 (2025).
[Published Version] View | Files available | DOI | WoS | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 20367 | OA | PlanS
Pairs of commuting integer matrices
T.D. Browning, W. Sawin, V. Wang, Mathematische Annalen 393 (2025) 1863–1880.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 20423 | OA | PlanS
On the existence of magic squares of powers
N. Rome, S. Yamagishi, Research in Number Theory 11 (2025).
[Published Version] View | Files available | DOI | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 20603
Sumset growth in progression-free sets
C. Elsholtz, I.Z. Ruzsa, L. Wurzinger, Acta Arithmetica 220 (2025) 289–303.
View | DOI | WoS
 
2025 | Published | Journal Article | IST-REx-ID: 18822 | OA
Diagonal cubic forms and the large sieve
V. Wang, Mathematika 71 (2025).
[Published Version] View | Files available | DOI | WoS
 
2025 | Published | Journal Article | IST-REx-ID: 19054 | OA | PlanS
Motivic distribution of rational curves and twisted products of toric varieties
L. Faisant, Algebra & Number Theory 19 (2025) 883–965.
[Published Version] View | Files available | DOI | arXiv
 
2025 | Submitted | Preprint | IST-REx-ID: 19055 | OA [Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 19363 | OA | PlanS
Averages of multiplicative functions along equidistributed sequences
S. Chan, P. Koymans, C. Pagano, E. Sofos, Journal of Number Theory 273 (2025) 1–36.
[Published Version] View | Files available | DOI | WoS
 
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19407 | OA
On the L-polynomials of curves over finite fields
F. Ballini, D. Lombardo, M. Verzobio, Proceedings of the Royal Society of Edinburgh Section A: Mathematics (2025).
[Published Version] View | DOI | Download Published Version (ext.) | WoS
 
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19483 | OA
6-torision and integral points on quartic threefolds
S. Chan, P. Koymans, C. Pagano, E. Sofos, Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze (2025).
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 19673 | OA
Prime Hasse principles via diophantine second moments
V. Wang, Journal of the Association for Mathematical Research 3 (2025) 1–26.
[Published Version] View | Files available | DOI | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 19727 | OA | PlanS
Asymptotic growth of translation-dilation orbits
V. Wang, Advances in Mathematics 475 (2025).
[Published Version] View | Files available | DOI | WoS | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 19776 | OA
Optimal sums of three cubes in Fq[t]
T.D. Browning, J. Glas, V. Wang, Mathematische Zeitschrift 310 (2025).
[Published Version] View | Files available | DOI | WoS | arXiv
 

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