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80 Publications


2026 | Published | Journal Article | IST-REx-ID: 21002 | OA | PlanS
Browning, T. D. (2026). The Davenport–Heilbronn method: 80 years on. Journal of the London Mathematical Society. Wiley. https://doi.org/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. (2026). Average sizes of mixed character sums. Proceedings of the Royal Society of Edinburgh: Section A Mathematics. Cambridge University Press. https://doi.org/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. (2026). Integral solutions to systems of diagonal equations. Pacific Journal of Mathematics. Mathematical Sciences Publishers. https://doi.org/10.2140/pjm.2026.340.179
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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. Elsevier. https://doi.org/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. (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
[Published Version] View | Files available | DOI | WoS | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 21244 | OA | PlanS
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
[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. Université de Bordeaux. https://doi.org/10.5802/jtnb.1348
[Published Version] View | Files available | DOI | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 21003 | OA
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
[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. EMS Press. https://doi.org/10.4171/jems/1697
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 21343 | OA | PlanS
Browning, T. D., & Chan, S. (2025). Solubility of a resultant equation and applications. Journal de l’ecole Polytechnique Mathematiques. Ecole polytechnique. https://doi.org/10.5802/jep.320
[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. Springer Nature. https://doi.org/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. (2025). Diagonal cubic forms and the large sieve. Mathematika. London Mathematical Society. https://doi.org/10.1112/mtk.70008
[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. Instytut Matematyczny. https://doi.org/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, 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
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 21265 | OA
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
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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. Mathematical Sciences Publishers. https://doi.org/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. (2025). Averages of multiplicative functions along equidistributed sequences. Journal of Number Theory. Elsevier. https://doi.org/10.1016/j.jnt.2025.01.005
[Published Version] View | Files available | DOI | WoS
 

2025 | Submitted | Preprint | IST-REx-ID: 19055 | OA
Faisant, L. (n.d.). Motivic counting of rational curves with tangency conditions via universal torsors. arXiv. https://doi.org/10.48550/ARXIV.2502.11704
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 19776 | OA
Browning, T. D., Glas, J., & Wang, V. (2025). Optimal sums of three cubes in Fq[t]. Mathematische Zeitschrift. Springer Nature. https://doi.org/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. (2025). Asymptotic growth of translation-dilation orbits. Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2025.110341
[Published Version] View | Files available | DOI | WoS | arXiv
 

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