The non-vanishing of certain Hecke \(L\)-functions at the center of the critical strip

DOI10.1215/S0012-7094-80-04716-XzbMath0434.12007OpenAlexW2050916120MaRDI QIDQ1139632

David E. Rohrlich

Publication date: 1980

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-80-04716-x

zbMATH Keywords

elliptic curves with complex multiplicationMordell-Weil groupsHecke L-functions of imaginary quadratic fields

Mathematics Subject Classification ID

Quadratic extensions (11R11) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Zeta functions and (L)-functions of number fields (11R42)

Related Items (16)

The vanishing order of certain Hecke \(L\)-functions of imaginary quadratic fields ⋮ Algebraic number fields ⋮ Nonvanishing of Hecke \(L\)-functions and the Bloch-Kato conjecture ⋮ On the \(\lambda\)-invariant of Selmer groups arising from certain quadratic twists of Gross curves ⋮ A subconvexity bound for Hecke L-functions ⋮ Central values of Hecke \(L\)-functions of CM number fields ⋮ On the square root of special values of certain \(L\)-series ⋮ A nonsplit sum of coefficients of modular forms ⋮ Nonvanishing of Hecke \(L\)-functions for CM fields and ranks of Abelian varieties ⋮ Effective nonvanishing of canonical Hecke $L$-functions ⋮ Sur le rang des courbes elliptiques sur les corps de classes de Hilbert ⋮ Classical Iwasawa theory and infinite descent on a family of abelian varieties ⋮ ON ASYMPTOTIC VALUES OF CANONICAL QUADRATIC L-FUNCTIONS ⋮ On the critical values of Hecke \(L\)-functions for imaginary quadratic fields ⋮ On the L-functions of canonical Hecke characters of imaginary quadratic fields. II ⋮ Square root formulas for central values of Hecke \(L\)-series. II

This page was built for publication: The non-vanishing of certain Hecke \(L\)-functions at the center of the critical strip