Extreme central \(L\)-values of almost prime quadratic twists of elliptic curves

DOI10.1007/s11425-022-2216-yarXiv2212.13360OpenAlexW4387671589MaRDI QIDQ6146125

Bingrong Huang, Shenghao Hua

Publication date: 10 January 2024

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.13360

zbMATH Keywords

elliptic curvequadratic twistextreme valuealmost primecentral \(L\)-value

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Cites Work

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• Moments and distribution of central \(L\)-values of quadratic twists of elliptic curves
• Extreme values of zeta and \(L\)-functions
• Modular curves and the Eisenstein ideal
• Nonvanishing of \(L\)-series and the combinatorial sieve. With an appendix by David E. Rohrlich: Unboundedness of the Tate-Shafarevich group in families of quadratic twists
• A proof of Selberg's orthogonality for automorphic \(L\)-functions
• Periods of quadratic twists of elliptic curves
• Determination of GL(3) Cusp Forms by Central Values of Quadratic Twisted L-Functions

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