Asymptotics for Sums of Central Values of Canonical Hecke L-Series

DOI10.1093/imrn/rnm065zbMath1130.11021OpenAlexW2319720260MaRDI QIDQ5428183

Riad Masri

Publication date: 28 November 2007

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imrn/rnm065

zbMATH Keywords

Eisenstein series\(L\)-functionsimaginary quadratic fieldstheta seriesMaass formsGrößencharacter

Mathematics Subject Classification ID

Quadratic extensions (11R11) (zeta (s)) and (L(s, chi)) (11M06) Forms of half-integer weight; nonholomorphic modular forms (11F37) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Holomorphic modular forms of integral weight (11F11) Zeta functions and (L)-functions of number fields (11R42) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (4)

Nonvanishing of Hecke \(L\)-functions and the Bloch-Kato conjecture ⋮ 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

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