Non-vanishing of the central derivative of canonical Hecke \(L\)-functions

DOI10.4310/MRL.2000.v7.n3.a2zbMath1025.11011arXivmath/0003114OpenAlexW1986318578MaRDI QIDQ1580355

Stephen D. Miller, Tonghai Yang

Publication date: 1 March 2001

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0003114

zbMATH Keywords

central derivativenonvanishingHecke \(L\)-functions

Mathematics Subject Classification ID

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

Related Items (14)

The vanishing order of certain Hecke \(L\)-functions of imaginary quadratic fields ⋮ Taylor expansion of an Eisenstein series ⋮ Automorphism group of split Cartan modular curves ⋮ Nonvanishing of Hecke \(L\)-functions and the Bloch-Kato conjecture ⋮ 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 ⋮ Classical Iwasawa theory and infinite descent on a family of abelian varieties ⋮ ON ASYMPTOTIC VALUES OF CANONICAL QUADRATIC L-FUNCTIONS ⋮ On Hecke's decomposition of the regular differentials on the modular curve of prime level ⋮ Heegner points and Beilinson-Kato elements: a conjecture of Perrin-Riou ⋮ Cropping Euler factors of modularL-functions

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