NONVANISHING OF THE FAMILY OF Γ1(q)-AUTOMORPHIC L-FUNCTIONS AT THE CENTRAL POINT

DOI10.1142/S1793042111004800zbMath1235.11043OpenAlexW1974123939MaRDI QIDQ3173449

Goran Djanković

Publication date: 10 October 2011

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042111004800

zbMATH Keywords

automorphic \(L\)-functionscentral valuenonvanishingmollificationfamilies of L-functions

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) Holomorphic modular forms of integral weight (11F11)

Related Items (2)

Moments of central 𝐿-values for Maass forms over imaginary quadratic fields ⋮ Non-vanishing of Maass form $L$-functions at the central point

Cites Work

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

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