Arithmetic statistics and diophantine stability for elliptic curves

Author:

Ray AnweshORCID

Funder

Simons Foundation

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Reference33 articles.

1. Beneish, L., Kundu, D., Ray, A.: Rank jumps and growth of Shafarevich–Tate Groups for elliptic curves in $${\mathbb{Z}}/p{\mathbb{Z}}$$-extensions. arXiv preprint arXiv:2107.09166 (2021)

2. Coates, J., Schneider, P., Sujatha, R: Links between cyclotomic and $${GL}_2$$ Iwasawa theory. (2003)

3. David, C., Fearnley, J., Kisilevsky, H.: Vanishing of $${L}$$-functions of elliptic curves over number fields. Ranks Elliptic Curv Random Matrix theory 341, 247 (2007)

4. Delaunay, C.: Heuristics on Tate–Shafarevitch groups of elliptic curves defined over Q. Exp. Math. 10(2), 191–196 (2001)

5. Dokchitser, T: Ranks of elliptic curves in cubic extensions. arXiv preprint math/0510533 (2005)

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