Nondiagonal terms in the second moment of automorphic -functions

DOI10.1070/SM9313zbMath1457.11056OpenAlexW3024592676MaRDI QIDQ5135760

Dmitriy A. Frolenkov

Publication date: 23 November 2020

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm9313

zbMATH Keywords

hypergeometric functionadditive divisor problemmoments of central values of \(L\)-functions

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Automorphic forms, one variable (11F12)

Uses Software

• DLMF

Cites Work

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• A uniform asymptotic formula for the second moment of primitive \(L\)-functions on the critical line
• On the binary additive divisor problem
• The first moment of cusp form $L$-functions in weight aspect on average
• The binary additive divisor problem
• The non-vanishing of central values of automorphic \(L\)-functions and Landau-Siegel zeros

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