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80 Publications


2026 | Published | Journal Article | IST-REx-ID: 21002 | OA | PlanS
Browning TD. 2026. The Davenport–Heilbronn method: 80 years on. Journal of the London Mathematical Society. 113(1), e70371.
[Published Version] View | Files available | DOI
 

2026 | Epub ahead of print | Journal Article | IST-REx-ID: 21385 | OA | PlanS
Wang V, Xu M. 2026. Average sizes of mixed character sums. Proceedings of the Royal Society of Edinburgh: Section A Mathematics., 1–15.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 

2026 | Published | Journal Article | IST-REx-ID: 21242 | OA
Rome N, Yamagishi S. 2026. Integral solutions to systems of diagonal equations. Pacific Journal of Mathematics. 340(1), 179–198.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2026 | Published | Journal Article | IST-REx-ID: 20078 | OA | PlanS
Barańczuk S, Naskręcki B, Verzobio M. 2026. Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve. Journal of Number Theory. 279, 170–183.
[Published Version] View | Files available | DOI | WoS | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 12311 | OA | PlanS
Naskręcki B, Verzobio M. 2025. Common valuations of division polynomials. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 155(5), 1646–1660.
[Published Version] View | Files available | DOI | WoS | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 21244 | OA | PlanS
Browning TD, Lyczak J, Smeets A. 2025. Paucity of rational points on fibrations with multiple fibres. Algebra & Number Theory. 19(10), 2049–2090.
[Published Version] View | Files available | DOI | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 20850 | OA
Diao Y. 2025. Class numbers and integer points on some Pellian surfaces. Journal de theorie des nombres de Bordeaux. 37(3), 973–988.
[Published Version] View | Files available | DOI | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 21003 | OA
Browning TD, Verzobio M. 2025. Counting integer points on affine surfaces with a side condition. Discrete Analysis. 2025, 12.
[Published Version] View | Files available | DOI | arXiv
 

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

2025 | Published | Journal Article | IST-REx-ID: 21343 | OA | PlanS
Browning TD, Chan S. 2025. Solubility of a resultant equation and applications. Journal de l’ecole polytechnique mathematiques. 12, 1677–1691.
[Published Version] View | Files available | DOI | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 18705 | OA
Glas J, Hochfilzer L. 2025. On a question of Davenport and diagonal cubic forms over Fq(t). Mathematische Annalen. 391, 5485–5533.
[Published Version] View | Files available | DOI | WoS | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 18822 | OA
Wang V. 2025. Diagonal cubic forms and the large sieve. Mathematika. 71(1), e70008.
[Published Version] View | Files available | DOI | WoS
 

2025 | Published | Journal Article | IST-REx-ID: 21768 | OA
Yamagishi S. 2025. Birch’s theorem on forms in many variables with a Hessian condition. Acta Arithmetica. 221(2), 141–151.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

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

2025 | Published | Journal Article | IST-REx-ID: 21265 | OA
Wang V, Xu MW. 2025. Harper’s beyond square-root conjecture. International Mathematics Research Notices. 2025(18), rnaf279.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 19054 | OA | PlanS
Faisant L. 2025. Motivic distribution of rational curves and twisted products of toric varieties. Algebra & Number Theory. 19, 883–965.
[Published Version] View | Files available | DOI | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 19363 | OA | PlanS
Chan S, Koymans P, Pagano C, Sofos E. 2025. Averages of multiplicative functions along equidistributed sequences. Journal of Number Theory. 273, 1–36.
[Published Version] View | Files available | DOI | WoS
 

2025 | Submitted | Preprint | IST-REx-ID: 19055 | OA
Faisant L. Motivic counting of rational curves with tangency conditions via universal torsors. arXiv, 2502.11704.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 19776 | OA
Browning TD, Glas J, Wang V. 2025. Optimal sums of three cubes in Fq[t]. Mathematische Zeitschrift. 310(4), 65.
[Published Version] View | Files available | DOI | WoS | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 19727 | OA | PlanS
Wang V. 2025. Asymptotic growth of translation-dilation orbits. Advances in Mathematics. 475, 110341.
[Published Version] View | Files available | DOI | WoS | arXiv
 

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