Mean square values of Hecke \(L\)-series formed with \(r\)-th order characters

DOI10.1007/s00222-004-0363-6zbMath1137.11071OpenAlexW2046993034MaRDI QIDQ1882586

Adrian-Viorel Diaconu

Publication date: 1 October 2004

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00222-004-0363-6

zbMATH Keywords

multiple Dirichlet seriesgeneralized theta functions\(L\)-seriesmetaplectic groupsBochner's tube theoremHecke Größencharakterperfect multiple Dirichlet series

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Zeta functions and (L)-functions of number fields (11R42)

Related Items (10)

First moments of some Hecke \(L\)-functions of prime moduli ⋮ The mean values of cubic \(L\)-functions over function fields ⋮ Mean values of some Hecke characters ⋮ Mean values of cubic and quartic Dirichlet characters ⋮ Mean values with cubic characters ⋮ Moments of quadratic Hecke \(L\)-functions of imaginary quadratic number fields ⋮ Moments of central values of quartic Dirichlet \(L\)-functions ⋮ Moments of central values of cubic Hecke \(L\)-functions of \(\mathbb{Q}(i)\) ⋮ First moment of Hecke \(L\)-functions with quartic characters at the central point ⋮ One-Level Density of Low-lying Zeros of Quadratic and Quartic Hecke -functions

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