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80 Publications

2026 | Published | Journal Article | IST-REx-ID: 21002 | OA | PlanS
T. D. Browning, “The Davenport–Heilbronn method: 80 years on,” Journal of the London Mathematical Society, vol. 113, no. 1. Wiley, 2026.
[Published Version] View | Files available | DOI
 
2026 | Published | Journal Article | IST-REx-ID: 21242 | OA
N. Rome and S. Yamagishi, “Integral solutions to systems of diagonal equations,” Pacific Journal of Mathematics, vol. 340, no. 1. Mathematical Sciences Publishers, pp. 179–198, 2026.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2026 | Epub ahead of print | Journal Article | IST-REx-ID: 21385 | OA | PlanS
V. Wang and M. Xu, “Average sizes of mixed character sums,” Proceedings of the Royal Society of Edinburgh: Section A Mathematics. Cambridge University Press, pp. 1–15, 2026.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 12311 | OA | PlanS
B. Naskręcki and M. Verzobio, “Common valuations of division polynomials,” Proceedings of the Royal Society of Edinburgh Section A: Mathematics, vol. 155, no. 5. Cambridge University Press, pp. 1646–1660, 2025.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 20850 | OA
Y. Diao, “Class numbers and integer points on some Pellian surfaces,” Journal de theorie des nombres de Bordeaux, vol. 37, no. 3. Université de Bordeaux, pp. 973–988, 2025.
[Published Version] View | Files available | DOI | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 21003 | OA
T. D. Browning and M. Verzobio, “Counting integer points on affine surfaces with a side condition,” Discrete Analysis, vol. 2025. Cambridge: Alliance of Diamond Open Access Journals, 2025.
[Published Version] View | Files available | DOI | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 21244 | OA | PlanS
T. D. Browning, J. Lyczak, and A. Smeets, “Paucity of rational points on fibrations with multiple fibres,” Algebra & Number Theory, vol. 19, no. 10. Mathematical Sciences Publishers, pp. 2049–2090, 2025.
[Published Version] View | Files available | DOI | arXiv
 
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 21260 | OA
S. Yao Xiao and S. Yamagishi, “Quartic polynomials in two variables do not represent all non-negative integers,” Journal of the European Mathematical Society. EMS Press, 2025.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 21265 | OA
V. Wang and M. W. Xu, “Harper’s beyond square-root conjecture,” International Mathematics Research Notices, vol. 2025, no. 18. Oxford University Press, 2025.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 21266 | OA
T. D. Browning and S. Chan, “Almost all quadratic twists of an elliptic curve have no integral points,” Journal of the European Mathematical Society. European Mathematical Society Press, 2025.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 21343 | OA | PlanS
T. D. Browning and S. Chan, “Solubility of a resultant equation and applications,” Journal de l’ecole polytechnique mathematiques, vol. 12. Ecole polytechnique, pp. 1677–1691, 2025.
[Published Version] View | Files available | DOI | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 21768 | OA
S. Yamagishi, “Birch’s theorem on forms in many variables with a Hessian condition,” Acta Arithmetica, vol. 221, no. 2. Instytut Matematyczny, pp. 141–151, 2025.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 18705 | OA
J. Glas and L. Hochfilzer, “On a question of Davenport and diagonal cubic forms over Fq(t),” Mathematische Annalen, vol. 391. Springer Nature, pp. 5485–5533, 2025.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 18822 | OA
V. Wang, “Diagonal cubic forms and the large sieve,” Mathematika, vol. 71, no. 1. London Mathematical Society, 2025.
[Published Version] View | Files available | DOI | WoS
 
2025 | Published | Journal Article | IST-REx-ID: 19054 | OA | PlanS
L. Faisant, “Motivic distribution of rational curves and twisted products of toric varieties,” Algebra & Number Theory, vol. 19. Mathematical Sciences Publishers, pp. 883–965, 2025.
[Published Version] View | Files available | DOI | arXiv
 
2025 | Submitted | Preprint | IST-REx-ID: 19055 | OA
L. Faisant, “Motivic counting of rational curves with tangency conditions via universal torsors,” arXiv. .
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 19363 | OA | PlanS
S. Chan, P. Koymans, C. Pagano, and E. Sofos, “Averages of multiplicative functions along equidistributed sequences,” Journal of Number Theory, vol. 273. Elsevier, pp. 1–36, 2025.
[Published Version] View | Files available | DOI | WoS
 
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19407 | OA
F. Ballini, D. Lombardo, and M. Verzobio, “On the L-polynomials of curves over finite fields,” Proceedings of the Royal Society of Edinburgh Section A: Mathematics. Cambridge University Press, 2025.
[Published Version] View | DOI | Download Published Version (ext.) | WoS
 
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19483 | OA
S. Chan, P. Koymans, C. Pagano, and E. Sofos, “6-torision and integral points on quartic threefolds,” Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. Scuola Normale Superiore - Edizioni della Normale, 2025.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 19673 | OA
V. Wang, “Prime Hasse principles via diophantine second moments,” Journal of the Association for Mathematical Research, vol. 3, no. 1. Association for Mathematical Research, pp. 1–26, 2025.
[Published Version] View | Files available | DOI | arXiv
 

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