The second moment of the central values of the symmetric square \(L\)-functions

DOI10.1007/s11139-014-9601-8zbMath1364.11100OpenAlexW1988916559MaRDI QIDQ746392

Jonathan Wing Chung Lam

Publication date: 16 October 2015

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-014-9601-8

zbMATH Keywords

central valuesymmetric square \(L\)-functionsnumber theoryholomorphic cusp formssecond momentaverage over Hecke basis

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Zeta and (L)-functions: analytic theory (11M99)

Related Items (4)

Central value of the symmetric square \(L\)-functions related to Hecke-Maass forms ⋮ On the spectral large sieve inequality for symmetric-squares ⋮ MOMENTS AND HYBRID SUBCONVEXITY FOR SYMMETRIC-SQUARE L-FUNCTIONS ⋮ The first moment of central values of symmetric square $L$-functions of cusp forms

Cites Work

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• Uniform bound for Hecke \(L\)-functions
• Central values of the symmetric square $L$-functions
• Non-vanishing of the symmetric square L -function at the central point
• Mass equidistribution for Hecke eigenforms
• On the average of central values of symmetric square L-functions in weight aspect

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