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80 Publications


2026 | Published | Journal Article | IST-REx-ID: 21002 | OA | PlanS
Browning, Timothy D. “The Davenport–Heilbronn Method: 80 Years On.” Journal of the London Mathematical Society. Wiley, 2026. https://doi.org/10.1112/jlms.70371.
[Published Version] View | Files available | DOI
 

2026 | Epub ahead of print | Journal Article | IST-REx-ID: 21385 | OA | PlanS
Wang, Victor, and Max Xu. “Average Sizes of Mixed Character Sums.” Proceedings of the Royal Society of Edinburgh: Section A Mathematics. Cambridge University Press, 2026. 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, Nick, and Shuntaro Yamagishi. “Integral Solutions to Systems of Diagonal Equations.” Pacific Journal of Mathematics. Mathematical Sciences Publishers, 2026. https://doi.org/10.2140/pjm.2026.340.179.
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2026 | Published | Journal Article | IST-REx-ID: 20078 | OA | PlanS
Barańczuk, Stefan, Bartosz Naskręcki, and Matteo Verzobio. “Divisibility Sequences Related to Abelian Varieties Isogenous to a Power of an Elliptic Curve.” Journal of Number Theory. Elsevier, 2026. 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, Bartosz, and Matteo Verzobio. “Common Valuations of Division Polynomials.” Proceedings of the Royal Society of Edinburgh Section A: Mathematics. Cambridge University Press, 2025. 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, Timothy D, Julian Lyczak, and Arne Smeets. “Paucity of Rational Points on Fibrations with Multiple Fibres.” Algebra & Number Theory. Mathematical Sciences Publishers, 2025. 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, Yijie. “Class Numbers and Integer Points on Some Pellian Surfaces.” Journal de Theorie Des Nombres de Bordeaux. Université de Bordeaux, 2025. https://doi.org/10.5802/jtnb.1348.
[Published Version] View | Files available | DOI | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 21003 | OA
Browning, Timothy D, and Matteo Verzobio. “Counting Integer Points on Affine Surfaces with a Side Condition.” Discrete Analysis. Cambridge: Alliance of Diamond Open Access Journals, 2025. 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, Stanley, and Shuntaro Yamagishi. “Quartic Polynomials in Two Variables Do Not Represent All Non-Negative Integers.” Journal of the European Mathematical Society. EMS Press, 2025. 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, Timothy D, and Stephanie Chan. “Solubility of a Resultant Equation and Applications.” Journal de l’ecole Polytechnique Mathematiques. Ecole polytechnique, 2025. https://doi.org/10.5802/jep.320.
[Published Version] View | Files available | DOI | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 18705 | OA
Glas, Jakob, and Leonhard Hochfilzer. “On a Question of Davenport and Diagonal Cubic Forms over Fq(T).” Mathematische Annalen. Springer Nature, 2025. 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, Victor. “Diagonal Cubic Forms and the Large Sieve.” Mathematika. London Mathematical Society, 2025. https://doi.org/10.1112/mtk.70008.
[Published Version] View | Files available | DOI | WoS
 

2025 | Published | Journal Article | IST-REx-ID: 21768 | OA
Yamagishi, Shuntaro. “Birch’s Theorem on Forms in Many Variables with a Hessian Condition.” Acta Arithmetica. Instytut Matematyczny, 2025. 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, Timothy D, and Stephanie Chan. “Almost All Quadratic Twists of an Elliptic Curve Have No Integral Points.” Journal of the European Mathematical Society. EMS Press, 2025. 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, Victor, and Max Wenqiang Xu. “Harper’s beyond Square-Root Conjecture.” International Mathematics Research Notices. Oxford University Press, 2025. https://doi.org/10.1093/imrn/rnaf279.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 19054 | OA | PlanS
Faisant, Loïs. “Motivic Distribution of Rational Curves and Twisted Products of Toric Varieties.” Algebra & Number Theory. Mathematical Sciences Publishers, 2025. 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, Stephanie, Peter Koymans, Carlo Pagano, and Efthymios Sofos. “Averages of Multiplicative Functions along Equidistributed Sequences.” Journal of Number Theory. Elsevier, 2025. 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, Loïs. “Motivic Counting of Rational Curves with Tangency Conditions via Universal Torsors.” ArXiv, n.d. 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, Timothy D, Jakob Glas, and Victor Wang. “Optimal Sums of Three Cubes in Fq[T].” Mathematische Zeitschrift. Springer Nature, 2025. 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, Victor. “Asymptotic Growth of Translation-Dilation Orbits.” Advances in Mathematics. Elsevier, 2025. https://doi.org/10.1016/j.aim.2025.110341.
[Published Version] View | Files available | DOI | WoS | arXiv
 

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