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Sums of Euler products and statistics of elliptic curves

Published:2016-10-13 Issue:1-2 Volume:368 Page:685-752
ISSN:0025-5831
Container-title:Mathematische Annalen
language:en
Short-container-title:Math. Ann.

Author:

David Chantal,Koukoulopoulos Dimitris,Smith Ethan

Funder

Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada

Fonds de Recherche du Québec - Nature et Technologies

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/article/10.1007/s00208-016-1482-2/fulltext.html

Reference39 articles.

1. Achter, J.D.: The distribution of class groups of function fields. J. Pure Appl. Algebra 204(2), 316–333 (2006)

2. Achter, JD.: Results of Cohen–Lenstra type for quadratic function fields. In: Computational arithmetic geometry, vol. 463 of Contemp. Math., pp. 1–7. Amer. Math. Soc., Providence, RI (2008)

3. Baier, S., Zhao, L.: The Sato–Tate conjecture on average for small angles. Trans. Amer. Math. Soc. 361(4), 1811–1832 (2009)

4. Balog, A., Cojocaru, A., David, C.: Average twin prime conjecture for elliptic curves. Amer. J. Math. 133(5), 1179–1229 (2011)

5. Banks, W.D., Shparlinski, I.E.: Sato–Tate, cyclicity, and divisibility statistics on average for elliptic curves of small height. Israel J. Math. 173, 253–277 (2009)

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Distribution of moments of Hurwitz class numbers in arithmetic progressions and holomorphic projection;T AM MATH SOC;2022-12-23

2. Frobenius distributions of elliptic curves in short intervals on average;The Ramanujan Journal;2021-07-03

3. THE AVERAGE NUMBER OF SUBGROUPS OF ELLIPTIC CURVES OVER FINITE FIELDS;The Quarterly Journal of Mathematics;2020-07-07

4. THE ERROR TERM IN THE SATO–TATE THEOREM OF BIRCH;Bulletin of the Australian Mathematical Society;2019-02-08

5. Moments of the error term in the Sato–Tate law for elliptic curves;Journal of Number Theory;2019-01

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