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43 Publications
2022 |Submitted| Preprint | IST-REx-ID: 10788 |
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Integral points of bounded height on a certain toric variety
F.A. Wilsch, ArXiv (n.d.).
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F.A. Wilsch, ArXiv (n.d.).
2022 |Published| Journal Article | IST-REx-ID: 9199 |
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Equidistribution and freeness on Grassmannians
T.D. Browning, T. Horesh, F.A. Wilsch, Algebra & Number Theory 16 (2022) 2385–2407.
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T.D. Browning, T. Horesh, F.A. Wilsch, Algebra & Number Theory 16 (2022) 2385–2407.
2022 |Published| Journal Article | IST-REx-ID: 9364 |
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On the size of the maximum of incomplete Kloosterman sums
D. Bonolis, Mathematical Proceedings of the Cambridge Philosophical Society 172 (2022) 563–590.
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D. Bonolis, Mathematical Proceedings of the Cambridge Philosophical Society 172 (2022) 563–590.
2022 |Published| Journal Article | IST-REx-ID: 10765 |
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Arithmetic purity of the Hardy-Littlewood property and geometric sieve for affine quadrics
Y. Cao, Z. Huang, Advances in Mathematics 398 (2022).
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Y. Cao, Z. Huang, Advances in Mathematics 398 (2022).
2022 |Published| Journal Article | IST-REx-ID: 11636 |
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The Bertini irreducibility theorem for higher codimensional slices
P. Kmentt, A.L. Shute, Finite Fields and Their Applications 83 (2022).
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P. Kmentt, A.L. Shute, Finite Fields and Their Applications 83 (2022).
2022 |Published| Journal Article | IST-REx-ID: 12684 |
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Effective equidistribution of lattice points in positive characteristic
T. Horesh, F. Paulin, Journal de Theorie Des Nombres de Bordeaux 34 (2022) 679–703.
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T. Horesh, F. Paulin, Journal de Theorie Des Nombres de Bordeaux 34 (2022) 679–703.
2022 |Published| Journal Article | IST-REx-ID: 12776 |
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Revisiting the Manin–Peyre conjecture for the split del Pezzo surface of degree 5
T.D. Browning, New York Journal of Mathematics 28 (2022) 1193–1229.
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T.D. Browning, New York Journal of Mathematics 28 (2022) 1193–1229.
2022 |Published| Journal Article | IST-REx-ID: 17058
On the leading constant in the Manin-type conjecture for Campana points
A.L. Shute, Acta Arithmetica 204 (2022) 317–346.
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A.L. Shute, Acta Arithmetica 204 (2022) 317–346.
2021 |Published| Book | IST-REx-ID: 10415
Cubic Forms and the Circle Method
T.D. Browning, Cubic Forms and the Circle Method, Springer Nature, Cham, 2021.
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T.D. Browning, Cubic Forms and the Circle Method, Springer Nature, Cham, 2021.
2021 |Submitted| Preprint | IST-REx-ID: 12076 |
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Sums of four squareful numbers
A.L. Shute, ArXiv (n.d.).
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A.L. Shute, ArXiv (n.d.).
2021 |Published| Journal Article | IST-REx-ID: 9260 |
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Arithmetic of higher-dimensional orbifolds and a mixed Waring problem
T.D. Browning, S. Yamagishi, Mathematische Zeitschrift 299 (2021) 1071–1101.
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T.D. Browning, S. Yamagishi, Mathematische Zeitschrift 299 (2021) 1071–1101.
2021 |Published| Journal Article | IST-REx-ID: 10711 |
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The distribution of the maximum of partial sums of Kloosterman sums and other trace functions
P. Autissier, D. Bonolis, Y. Lamzouri, Compositio Mathematica 157 (2021) 1610–1651.
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P. Autissier, D. Bonolis, Y. Lamzouri, Compositio Mathematica 157 (2021) 1610–1651.
2021 |Published| Journal Article | IST-REx-ID: 8742 |
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The geometric sieve for quadrics
T.D. Browning, R. Heath-Brown, Forum Mathematicum 33 (2021) 147–165.
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T.D. Browning, R. Heath-Brown, Forum Mathematicum 33 (2021) 147–165.
2021 |Published| Journal Article | IST-REx-ID: 15279 |
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Motivic Euler products in motivic statistics
M. Bilu, S. Howe, Algebra & Number Theory 15 (2021) 2195–2259.
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M. Bilu, S. Howe, Algebra & Number Theory 15 (2021) 2195–2259.
2021 |Submitted| Preprint | IST-REx-ID: 12077 |
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On the leading constant in the Manin-type conjecture for Campana points
A.L. Shute, ArXiv (n.d.).
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A.L. Shute, ArXiv (n.d.).
2020 |Published| Journal Article | IST-REx-ID: 177 |
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A geometric version of the circle method
T.D. Browning, W. Sawin, Annals of Mathematics 191 (2020) 893–948.
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T.D. Browning, W. Sawin, Annals of Mathematics 191 (2020) 893–948.
2020 |Published| Journal Article | IST-REx-ID: 9007 |
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Free rational points on smooth hypersurfaces
T.D. Browning, W. Sawin, Commentarii Mathematici Helvetici 95 (2020) 635–659.
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T.D. Browning, W. Sawin, Commentarii Mathematici Helvetici 95 (2020) 635–659.
2020 |Published| Journal Article | IST-REx-ID: 179 |
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Density of rational points on a quadric bundle in ℙ3×ℙ3
T.D. Browning, R. Heath Brown, Duke Mathematical Journal 169 (2020) 3099–3165.
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T.D. Browning, R. Heath Brown, Duke Mathematical Journal 169 (2020) 3099–3165.
2019 |Published| Journal Article | IST-REx-ID: 175 |
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Sieving rational points on varieties
T.D. Browning, D. Loughran, Transactions of the American Mathematical Society 371 (2019) 5757–5785.
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T.D. Browning, D. Loughran, Transactions of the American Mathematical Society 371 (2019) 5757–5785.
2019 |Published| Journal Article | IST-REx-ID: 6310 |
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Counting rational points on biquadratic hypersurfaces
T.D. Browning, L.Q. Hu, Advances in Mathematics 349 (2019) 920–940.
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T.D. Browning, L.Q. Hu, Advances in Mathematics 349 (2019) 920–940.