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36 Publications


2022 | Journal Article | IST-REx-ID: 12776 | OA
Browning TD. 2022. Revisiting the Manin–Peyre conjecture for the split del Pezzo surface of degree 5. New York Journal of Mathematics. 28, 1193–1229.
[Published Version] View | Files available
 

2021 | Book | IST-REx-ID: 10415
Browning TD. 2021. Cubic Forms and the Circle Method, Cham: Springer Nature, XIV, 166p.
View | DOI
 

2021 | Preprint | IST-REx-ID: 12077 | OA
Shute AL. On the leading constant in the Manin-type conjecture for Campana points. arXiv, 2104.14946.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 

2021 | Preprint | IST-REx-ID: 12076 | OA
Shute AL. Sums of four squareful numbers. arXiv, 2104.06966.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 

2021 | Journal Article | IST-REx-ID: 9260 | OA
Browning TD, Yamagishi S. 2021. Arithmetic of higher-dimensional orbifolds and a mixed Waring problem. Mathematische Zeitschrift. 299, 1071–1101.
[Published Version] View | Files available | DOI | WoS
 

2021 | Journal Article | IST-REx-ID: 10711 | OA
Autissier P, Bonolis D, Lamzouri Y. 2021. The distribution of the maximum of partial sums of Kloosterman sums and other trace functions. Compositio Mathematica. 157(7), 1610–1651.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

2021 | Journal Article | IST-REx-ID: 8742 | OA
Browning TD, Heath-Brown R. 2021. The geometric sieve for quadrics. Forum Mathematicum. 33(1), 147–165.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

2021 | Journal Article | IST-REx-ID: 15279 | OA
Bilu M, Howe S. 2021. Motivic Euler products in motivic statistics. Algebra & Number Theory. 15(9), 2195–2259.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2020 | Journal Article | IST-REx-ID: 177 | OA
Browning TD, Sawin W. 2020. A geometric version of the circle method. Annals of Mathematics. 191(3), 893–948.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

2020 | Journal Article | IST-REx-ID: 9007 | OA
Browning TD, Sawin W. 2020. Free rational points on smooth hypersurfaces. Commentarii Mathematici Helvetici. 95(4), 635–659.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

2020 | Journal Article | IST-REx-ID: 179 | OA
Browning TD, Heath Brown R. 2020. Density of rational points on a quadric bundle in ℙ3×ℙ3. Duke Mathematical Journal. 169(16), 3099–3165.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

2019 | Journal Article | IST-REx-ID: 175 | OA
Browning TD, Loughran D. 2019. Sieving rational points on varieties. Transactions of the American Mathematical Society. 371(8), 5757–5785.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

2019 | Journal Article | IST-REx-ID: 6310 | OA
Browning TD, Hu LQ. 2019. Counting rational points on biquadratic hypersurfaces. Advances in Mathematics. 349, 920–940.
[Submitted Version] View | Files available | DOI | WoS | arXiv
 

2019 | Journal Article | IST-REx-ID: 6620 | OA
De La Bretèche R, Destagnol KN, Liu J, Wu J, Zhao Y. 2019. On a certain non-split cubic surface. Science China Mathematics. 62(12), 2435–2446.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

2019 | Journal Article | IST-REx-ID: 6835 | OA
Destagnol KN, Sofos E. 2019. Rational points and prime values of polynomials in moderately many variables. Bulletin des Sciences Mathematiques. 156(11), 102794.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

2019 | Journal Article | IST-REx-ID: 10874 | OA
Ionica S, Kılıçer P, Lauter K, Lorenzo García E, Manzateanu M-A, Massierer M, Vincent C. 2019. Modular invariants for genus 3 hyperelliptic curves. Research in Number Theory. 5, 9.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

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