Central value of the symmetric square \(L\)-functions related to Hecke-Maass forms

DOI10.1007/S10986-016-9317-0zbMath1351.11029OpenAlexW2407987139MaRDI QIDQ327186

Hengcai Tang, Zhao Xu

Publication date: 19 October 2016

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-016-9317-0

zbMATH Keywords

trace formulasymmetric square \(L\)-functionMaass form

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Related Items (2)

Non-vanishing of Maass form symmetric square \(L\)-functions ⋮ Convolution formula for the sums of generalized Dirichlet \(L\)-functions

Cites Work

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• The second moment of the central values of the symmetric square \(L\)-functions
• Kloosterman sums and Fourier coefficients of cusp forms
• Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman
• Central values of the symmetric square $L$-functions
• Non-vanishing of the symmetric square L -function at the central point
• PETERSSON'S CONJECTURE FOR CUSP FORMS OF WEIGHT ZERO AND LINNIK'S CONJECTURE. SUMS OF KLOOSTERMAN SUMS
• Mass equidistribution for Hecke eigenforms
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
• Central value of the symmetric square <italic>L</italic>-functions related to Maass forms

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