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79 Publications
2026 |
Published |
Journal Article |
IST-REx-ID: 21002 |
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The Davenport–Heilbronn method: 80 years on
T.D. Browning, Journal of the London Mathematical Society 113 (2026).
[Published Version]
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T.D. Browning, Journal of the London Mathematical Society 113 (2026).
2026 |
Published |
Journal Article |
IST-REx-ID: 21242 |
Integral solutions to systems of diagonal equations
N. Rome, S. Yamagishi, Pacific Journal of Mathematics 340 (2026) 179–198.
[Preprint]
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N. Rome, S. Yamagishi, Pacific Journal of Mathematics 340 (2026) 179–198.
2026 |
Epub ahead of print |
Journal Article |
IST-REx-ID: 21385 |
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Average sizes of mixed character sums
V. Wang, M. Xu, Proceedings of the Royal Society of Edinburgh: Section A Mathematics (2026) 1–15.
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V. Wang, M. Xu, Proceedings of the Royal Society of Edinburgh: Section A Mathematics (2026) 1–15.
2025 |
Published |
Journal Article |
IST-REx-ID: 18705 |
On a question of Davenport and diagonal cubic forms over Fq(t)
J. Glas, L. Hochfilzer, Mathematische Annalen 391 (2025) 5485–5533.
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J. Glas, L. Hochfilzer, Mathematische Annalen 391 (2025) 5485–5533.
2025 |
Published |
Journal Article |
IST-REx-ID: 12311 |
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Common valuations of division polynomials
B. Naskręcki, M. Verzobio, Proceedings of the Royal Society of Edinburgh Section A: Mathematics 155 (2025) 1646–1660.
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B. Naskręcki, M. Verzobio, Proceedings of the Royal Society of Edinburgh Section A: Mathematics 155 (2025) 1646–1660.
2025 |
Epub ahead of print |
Journal Article |
IST-REx-ID: 20078 |
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Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve
S. Barańczuk, B. Naskręcki, M. Verzobio, Journal of Number Theory 279 (2025) 170–183.
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S. Barańczuk, B. Naskręcki, M. Verzobio, Journal of Number Theory 279 (2025) 170–183.
2025 |
Published |
Journal Article |
IST-REx-ID: 20222 |
Counting rational points on smooth hypersurfaces with high degree
M. Verzobio, International Mathematics Research Notices 2025 (2025).
[Published Version]
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M. Verzobio, International Mathematics Research Notices 2025 (2025).
2025 |
Published |
Journal Article |
IST-REx-ID: 20249 |
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Integral points on cubic surfaces: heuristics and numerics
T.D. Browning, F.A. Wilsch, Selecta Mathematica New Series 31 (2025).
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T.D. Browning, F.A. Wilsch, Selecta Mathematica New Series 31 (2025).
2025 |
Published |
Journal Article |
IST-REx-ID: 20367 |
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Pairs of commuting integer matrices
T.D. Browning, W. Sawin, V. Wang, Mathematische Annalen 393 (2025) 1863–1880.
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T.D. Browning, W. Sawin, V. Wang, Mathematische Annalen 393 (2025) 1863–1880.
2025 |
Published |
Journal Article |
IST-REx-ID: 20423 |
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On the existence of magic squares of powers
N. Rome, S. Yamagishi, Research in Number Theory 11 (2025).
[Published Version]
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N. Rome, S. Yamagishi, Research in Number Theory 11 (2025).
2025 |
Published |
Journal Article |
IST-REx-ID: 20603
Sumset growth in progression-free sets
C. Elsholtz, I.Z. Ruzsa, L. Wurzinger, Acta Arithmetica 220 (2025) 289–303.
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C. Elsholtz, I.Z. Ruzsa, L. Wurzinger, Acta Arithmetica 220 (2025) 289–303.
2025 |
Published |
Journal Article |
IST-REx-ID: 18822 |
Diagonal cubic forms and the large sieve
V. Wang, Mathematika 71 (2025).
[Published Version]
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V. Wang, Mathematika 71 (2025).
2025 |
Published |
Journal Article |
IST-REx-ID: 19054 |
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Motivic distribution of rational curves and twisted products of toric varieties
L. Faisant, Algebra & Number Theory 19 (2025) 883–965.
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L. Faisant, Algebra & Number Theory 19 (2025) 883–965.
2025 |
Submitted |
Preprint |
IST-REx-ID: 19055 |
Motivic counting of rational curves with tangency conditions via universal torsors
L. Faisant, ArXiv (n.d.).
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L. Faisant, ArXiv (n.d.).
2025 |
Published |
Journal Article |
IST-REx-ID: 19363 |
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Averages of multiplicative functions along equidistributed sequences
S. Chan, P. Koymans, C. Pagano, E. Sofos, Journal of Number Theory 273 (2025) 1–36.
[Published Version]
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S. Chan, P. Koymans, C. Pagano, E. Sofos, Journal of Number Theory 273 (2025) 1–36.
2025 |
Epub ahead of print |
Journal Article |
IST-REx-ID: 19407 |
On the L-polynomials of curves over finite fields
F. Ballini, D. Lombardo, M. Verzobio, Proceedings of the Royal Society of Edinburgh Section A: Mathematics (2025).
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F. Ballini, D. Lombardo, M. Verzobio, Proceedings of the Royal Society of Edinburgh Section A: Mathematics (2025).
2025 |
Epub ahead of print |
Journal Article |
IST-REx-ID: 19483 |
6-torision and integral points on quartic threefolds
S. Chan, P. Koymans, C. Pagano, E. Sofos, Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze (2025).
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S. Chan, P. Koymans, C. Pagano, E. Sofos, Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze (2025).
2025 |
Published |
Journal Article |
IST-REx-ID: 19673 |
Prime Hasse principles via diophantine second moments
V. Wang, Journal of the Association for Mathematical Research 3 (2025) 1–26.
[Published Version]
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V. Wang, Journal of the Association for Mathematical Research 3 (2025) 1–26.
2025 |
Published |
Journal Article |
IST-REx-ID: 19727 |
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Asymptotic growth of translation-dilation orbits
V. Wang, Advances in Mathematics 475 (2025).
[Published Version]
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V. Wang, Advances in Mathematics 475 (2025).
2025 |
Published |
Journal Article |
IST-REx-ID: 19776 |
Optimal sums of three cubes in Fq[t]
T.D. Browning, J. Glas, V. Wang, Mathematische Zeitschrift 310 (2025).
[Published Version]
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T.D. Browning, J. Glas, V. Wang, Mathematische Zeitschrift 310 (2025).