The even parity Goldfeld conjecture: congruent number elliptic curves

DOI10.1016/j.jnt.2021.05.001zbMath1484.11131arXiv2104.06732OpenAlexW3175793021WikidataQ113870356 ScholiaQ113870356MaRDI QIDQ2235727

Ye Tian, Ashay A. Burungale

Publication date: 21 October 2021

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.06732

zbMATH Keywords

\(L\)-functionquadratic twistcongruent numbersSelmer groupBSD conjectureGoldfeld conjectureTunnell's theorem

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (5)

The Birch and Swinnerton-Dyer Conjecture: A brief survey ⋮ On ranks of quadratic twists of a Mordell curve ⋮ The congruent number problem and elliptic curves ⋮ A \(p\)-adic Waldspurger formula and the conjecture of Birch and Swinnerton-Dyer ⋮ \(p^{\infty}\)-Selmer groups and rational points on CM elliptic curves

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