A mean square formula for central values of twisted automorphic L-functions

DOI10.4064/aa118-3-2zbMath1081.11036OpenAlexW2082718534MaRDI QIDQ5315172

Kai-Man Tsang, Yuk-Kam Lau

Publication date: 7 September 2005

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa118-3-2

zbMATH Keywords

\(L\)-functionautomorphic formmean-squarecentral critical value

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)

Related Items (14)

Nonvanishing of central \(L\)-values of Maass forms ⋮ Moments of central 𝐿-values for Maass forms over imaginary quadratic fields ⋮ The first moment of central values of symmetric square \(L\)-functions in the weight aspect ⋮ Nonvanishing of the central \(L\)-values with large weight ⋮ Extreme values of L$L$‐functions of newforms ⋮ The first moment of central values of symmetric square $L$-functions of cusp forms ⋮ Non-vanishing of Rankin-Selberg convolutions for Hilbert modular forms ⋮ A formula for the central values of twisted $L$-functions derived from the Shimura correspondence ⋮ Non-vanishing of Maass form $L$-functions at the central point ⋮ On central \(L\)-derivative values of automorphic forms ⋮ On the first moment of the symmetric-square 𝐿-function ⋮ Moments of \(L\)-functions and the Liouville-Green method ⋮ Non-vanishing of the derivative of \(L\)-functions at the central point ⋮ On the random wave conjecture for dihedral Maaß forms

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