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80 Publications


2026 | Published | Journal Article | IST-REx-ID: 21002 | OA | PlanS
Browning TD. The Davenport–Heilbronn method: 80 years on. Journal of the London Mathematical Society. 2026;113(1). doi:10.1112/jlms.70371
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2026 | Epub ahead of print | Journal Article | IST-REx-ID: 21385 | OA | PlanS
Wang V, Xu M. Average sizes of mixed character sums. Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 2026:1-15. doi:10.1017/prm.2026.10123
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 

2026 | Published | Journal Article | IST-REx-ID: 21242 | OA
Rome N, Yamagishi S. Integral solutions to systems of diagonal equations. Pacific Journal of Mathematics. 2026;340(1):179-198. doi:10.2140/pjm.2026.340.179
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2026 | Published | Journal Article | IST-REx-ID: 20078 | OA | PlanS
Barańczuk S, Naskręcki B, Verzobio M. Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve. Journal of Number Theory. 2026;279:170-183. doi:10.1016/j.jnt.2025.06.001
[Published Version] View | Files available | DOI | WoS | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 12311 | OA | PlanS
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
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2025 | Published | Journal Article | IST-REx-ID: 21244 | OA | PlanS
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
[Published Version] View | Files available | DOI | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 20850 | OA
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
[Published Version] View | Files available | DOI | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 21003 | OA
Browning TD, Verzobio M. Counting integer points on affine surfaces with a side condition. Discrete Analysis. 2025;2025. doi:10.19086/da.143787
[Published Version] View | Files available | DOI | arXiv
 

2025 | Epub ahead of print | Journal Article | IST-REx-ID: 21260 | OA
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
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2025 | Published | Journal Article | IST-REx-ID: 21343 | OA | PlanS
Browning TD, Chan S. Solubility of a resultant equation and applications. Journal de l’ecole polytechnique mathematiques. 2025;12:1677-1691. doi:10.5802/jep.320
[Published Version] View | Files available | DOI | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 18705 | OA
Glas J, Hochfilzer L. On a question of Davenport and diagonal cubic forms over Fq(t). Mathematische Annalen. 2025;391:5485-5533. doi:10.1007/s00208-024-03035-z
[Published Version] View | Files available | DOI | WoS | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 18822 | OA
Wang V. Diagonal cubic forms and the large sieve. Mathematika. 2025;71(1). doi:10.1112/mtk.70008
[Published Version] View | Files available | DOI | WoS
 

2025 | Published | Journal Article | IST-REx-ID: 21768 | OA
Yamagishi S. Birch’s theorem on forms in many variables with a Hessian condition. Acta Arithmetica. 2025;221(2):141-151. doi:10.4064/aa241029-19-8
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2025 | Epub ahead of print | Journal Article | IST-REx-ID: 21266 | OA
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
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 21265 | OA
Wang V, Xu MW. Harper’s beyond square-root conjecture. International Mathematics Research Notices. 2025;2025(18). doi:10.1093/imrn/rnaf279
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2025 | Published | Journal Article | IST-REx-ID: 19054 | OA | PlanS
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
[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. Averages of multiplicative functions along equidistributed sequences. Journal of Number Theory. 2025;273:1-36. doi:10.1016/j.jnt.2025.01.005
[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. doi:10.48550/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. Optimal sums of three cubes in Fq[t]. Mathematische Zeitschrift. 2025;310(4). doi:10.1007/s00209-025-03765-z
[Published Version] View | Files available | DOI | WoS | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 19727 | OA | PlanS
Wang V. Asymptotic growth of translation-dilation orbits. Advances in Mathematics. 2025;475. doi:10.1016/j.aim.2025.110341
[Published Version] View | Files available | DOI | WoS | arXiv
 

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