On the L-functions of canonical Hecke characters of imaginary quadratic fields. II

DOI10.1215/S0012-7094-82-04945-6zbMath0523.12010OpenAlexW2066137349MaRDI QIDQ1056790

Hugh L. Montgomery, David E. Rohrlich

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-82-04945-6

zbMATH Keywords

functional equationHecke characterimaginary quadratic fieldL-functionsroot number

Mathematics Subject Classification ID

Quadratic extensions (11R11) Complex multiplication and moduli of abelian varieties (11G15) Zeta functions and (L)-functions of number fields (11R42) Hurwitz and Lerch zeta functions (11M35)

Related Items (13)

The vanishing order of certain Hecke \(L\)-functions of imaginary quadratic fields ⋮ Local units, elliptic units, Heegner points and elliptic curves ⋮ Non-vanishing of central \(L\)-values of canonical CM elliptic curves with quadratic twists ⋮ Nonvanishing of Hecke \(L\)-functions and the Bloch-Kato conjecture ⋮ Central values of Hecke \(L\)-functions of CM number fields ⋮ On the central derivative of Hecke \(L\)-series ⋮ A nonsplit sum of coefficients of modular forms ⋮ Heegner zeros of theta functions ⋮ 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 ⋮ Cropping Euler factors of modularL-functions

Cites Work

• Arithmetic on elliptic curves with complex multiplication. With an appendix by B. Mazur
• The non-vanishing of certain Hecke \(L\)-functions at the center of the critical strip
• On the L-functions of canonical Hecke characters of imaginary quadratic fields
• Galois conjugacy of unramified twists of Hecke characters
• Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer
• Root Numbers of Hecke L-Functions of CM Fields

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