On mean values and non-vanishing of derivatives of L-functions in a nonlinear family

DOI10.1112/S0010437X10004732zbMath1221.11126MaRDI QIDQ3077172

Ritabrata Munshi

Publication date: 22 February 2011

Published in: Compositio Mathematica (Search for Journal in Brave)

zbMATH Keywords

modular formsapproximate functional equationdouble Dirichlet seriesRankin convolutions

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) Fibrations, degenerations in algebraic geometry (14D06) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (2)

First moments of some Hecke \(L\)-functions of prime moduli ⋮ On quadratic families of CM elliptic curves

Cites Work

• The non-vanishing of central values of automorphic \(L\)-functions and Landau-Siegel zeros

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