The even parity Goldfeld conjecture: Congruent number elliptic curves

Author:

Burungale Ashay,Tian Ye

Funder

National Science Foundation

National Natural Science Foundation of China

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference54 articles.

1. The Parity of Analytic Ranks among Quadratic Twists of Elliptic Curves over Number Fields;Balsam,2015

2. Modeling the distribution of ranks, Selmer groups, and Shafarevich–Tate groups of elliptic curves;Bhargava;Camb. J. Math.,2015

3. On a theorem of Waldspurger and on Eisenstein series of Klingen type;Bocherer;Math. Ann.,1990

4. A. Burungale, S. Kobayashi, K. Ota, Rubin's conjecture on local units in the anticyclotomic tower at inert primes, preprint, 2021.

5. A. Burungale, S. Kobayashi, K. Ota, p-adic L-functions and rational points on CM elliptic curves at inert primes, preprint, 2021.

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1. Conjectures and problems on congruent numbers;SCIENTIA SINICA Mathematica;2024-07-24

2. $$p^\infty $$-Selmer groups and rational points on CM elliptic curves;Annales mathématiques du Québec;2022-07-08

3. A p-adic Waldspurger Formula and the Conjecture of Birch and Swinnerton-Dyer;Journal of the Indian Institute of Science;2022-07

4. On ranks of quadratic twists of a Mordell curve;The Ramanujan Journal;2022-05-13

5. The Birch and Swinnerton-Dyer Conjecture: A brief survey;Nine Mathematical Challenges;2021

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