Non-zero central values of Dirichlet twists of elliptic \(L\)-functions

DOI10.1016/J.JNT.2024.07.003MaRDI QIDQ6623033

Jungbae Nam, Hershy Kisilevsky

Publication date: 23 October 2024

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

zbMATH Keywords

Birch and Swinnerton-Dyer conjectureBrauer-Siegel quotientsDirichlet twistselliptic \(L\)-functionsstatistics of central \(L\)-values

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Zeta functions and (L)-functions of number fields (11R42)

Cites Work

• On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer
• On a BSD-type formula for \(L\)-values of Artin twists of elliptic curves
• An analogue of the Brauer-Siegel theorem for abelian varieties in positive characteristic
• Vanishing and non-vanishing Dirichlet twists of L -functions of elliptic curves
• Vanishing of L-functions of elliptic curves over number fields
• On the Vanishing of TwistedL-Functions of Elliptic Curves
• Elliptic Curves with Large Analytic Order of Ш(E)
• The Square-Free Sieve and the Rank of Elliptic Curves
• Analogues of Brauer-Siegel theorem in arithmetic geometry
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