A uniform asymptotic formula for the second moment of primitive \(L\)-functions on the critical line

DOI10.1134/S008154381606002XzbMath1397.11129arXiv1603.03134OpenAlexW2296387400MaRDI QIDQ511436

Olga G. Balkanova, Dmitriy A. Frolenkov

Publication date: 15 February 2017

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.03134

zbMATH Keywords

momentsprimitive \(L\)-functions

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06)

Related Items (6)

Averages of long Dirichlet polynomials with modular coefficients ⋮ Non-vanishing of automorphic \(L\)-functions of prime power level ⋮ The first moment of central values of symmetric square $L$-functions of cusp forms ⋮ Nondiagonal terms in the second moment of automorphic -functions ⋮ The first moment of Maaß form symmetric square \(L\)-functions ⋮ The cubic moment of automorphic \(L\)-functions in the weight aspect

Uses Software

• DLMF

Cites Work

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• Mollification and non-vanishing of automorphic \(L\)-functions at the primary level
• On the second moment of \(L\)-series of holomorphic cusp forms on the critical line
• A trace formula for the scalar product of Hecke series and its applications
• Non-vanishing of automorphic \(L\)-functions of prime power level
• Petits zéros de fonctions L de formes modulaires
• Formules de trace et non-annulation de fonctions L automorphes au niveau p^ν
• A NOTE ON THE SECOND MOMENT OF AUTOMORPHIC L ‐FUNCTIONS
• The non-vanishing of central values of automorphic \(L\)-functions and Landau-Siegel zeros

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