Ranks of elliptic curves and deep neural networks-Reference-Cited by-同舟云学术

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Ranks of elliptic curves and deep neural networks

Published:2023-06-28 Issue:3 Volume:9 Page:
ISSN:2522-0160
Container-title:Research in Number Theory
language:en
Short-container-title:Res. number theory

Author:

Kazalicki Matija,Vlah Domagoj

Funder

Hrvatska Zaklada za Znanost

European Regional Development Fund - the Competitiveness and Cohesion Operational Programme

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Link

https://link.springer.com/content/pdf/10.1007/s40993-023-00462-w.pdf

Reference46 articles.

1. Bober, J.W.: Conditionally bounding analytic ranks of elliptic curves. In: ANTS X—Proceedings of the Tenth Algorithmic Number Theory Symposium, vol. 1 of Open Book Ser., pp. 135–144. Math. Sci. Publ., Berkeley, CA (2013)

2. Booker, A.R.: Numerical tests of modularity. J. Ramanujan Math. Soc. 20(4), 283–339 (2005)

3. Booker, A.R., Sijsling, J., Sutherland, A.V., Voight, J., Yasaki, D.: A database of genus-2 curves over the rational numbers. LMS J. Comput. Math. 19(suppl. A), 235–254 (2016)

4. Boughorbel, S., Jarray, F., El-Anbari, M.: Optimal classifier for imbalanced data using Matthews correlation coefficient metric. PLoS ONE 12(6), 1–17 (2017). (06)

5. Breuil, C., Conrad, B., Diamond, F., Taylor, R.: On the modularity of elliptic curves over $$\mathbb{Q} $$: wild 3-adic exercises. J. Am. Math. Soc. 14(4), 843–939 (2001)

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1. Murmurations of Elliptic Curves;Experimental Mathematics;2024-08-04

2. Mestre's Finite Field Method for Searching Elliptic Curves with High Ranks;Journal of New Theory;2024-06-30

3. Elliptic Curves over the Rationals;Developments in Mathematics;2024

4. Machine Learning for Number Theory: Unsupervised Learning with L-Functions;Lecture Notes in Computer Science;2024

5. A note on lower bounds for ranks using Pell equations;Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti;2023

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