Double Dirichlet series and the \(n\)-th order twists of Hecke \(L\)-series

DOI10.1007/S00208-003-0455-4zbMath1117.11062OpenAlexW1967669218MaRDI QIDQ1416723

Jeffrey Hoffstein, Solomon Friedberg, Daniel B. Lieman

Publication date: 16 December 2003

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-003-0455-4

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Zeta functions and (L)-functions of number fields (11R42) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Other analytic theory (11R47)

Related Items (14)

Mean square values of Hecke \(L\)-series formed with \(r\)-th order characters ⋮ Determination of a \(\text{GL}_2\) automorphic cuspidal representation by twists of critical \(L\)-values ⋮ First moments of some Hecke \(L\)-functions of prime moduli ⋮ The mean values of cubic \(L\)-functions over function fields ⋮ Toroidal automorphic forms for function fields ⋮ A quadratic large sieve inequality over number fields ⋮ Mean values with cubic characters ⋮ Constructing Weyl group multiple Dirichlet series ⋮ Cubic twists of \(\text{GL}(2)\) automorphic \(L\)-functions ⋮ Weyl group multiple Dirichlet series. II: The stable case ⋮ 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

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