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80 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 | 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
 

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 | Published | 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 (2026) 170–183.
[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 | Published | Journal Article | IST-REx-ID: 21244 | OA | PlanS
Paucity of rational points on fibrations with multiple fibres
T.D. Browning, J. Lyczak, A. Smeets, Algebra & Number Theory 19 (2025) 2049–2090.
[Published Version] View | Files available | DOI | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 20850 | OA
Class numbers and integer points on some Pellian surfaces
Y. Diao, Journal de Theorie Des Nombres de Bordeaux 37 (2025) 973–988.
[Published Version] View | Files available | DOI | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 21003 | OA
Counting integer points on affine surfaces with a side condition
T.D. Browning, M. Verzobio, Discrete Analysis 2025 (2025).
[Published Version] View | Files available | DOI | arXiv
 

2025 | Epub ahead of print | Journal Article | IST-REx-ID: 21260 | OA
Quartic polynomials in two variables do not represent all non-negative integers
S. Yao Xiao, S. Yamagishi, Journal of the European Mathematical Society (2025).
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 21343 | OA | PlanS
Solubility of a resultant equation and applications
T.D. Browning, S. Chan, Journal de l’ecole Polytechnique Mathematiques 12 (2025) 1677–1691.
[Published Version] View | Files available | DOI | 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: 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: 21768 | OA
Birch’s theorem on forms in many variables with a Hessian condition
S. Yamagishi, Acta Arithmetica 221 (2025) 141–151.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2025 | Epub ahead of print | Journal Article | IST-REx-ID: 21266 | OA
Almost all quadratic twists of an elliptic curve have no integral points
T.D. Browning, S. Chan, Journal of the European Mathematical Society (2025).
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 21265 | OA
Harper’s beyond square-root conjecture
V. Wang, M.W. Xu, International Mathematics Research Notices 2025 (2025).
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

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 | 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 | Submitted | Preprint | IST-REx-ID: 19055 | OA
Motivic counting of rational curves with tangency conditions via universal torsors
L. Faisant, ArXiv (n.d.).
[Preprint] View | DOI | Download Preprint (ext.) | 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
 

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
 

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