A note on the Fourier coefficients of Hecke-Maass forms

DOI10.1016/J.JNT.2012.09.009zbMath1283.11076OpenAlexW2038594277MaRDI QIDQ1938557

Hengcai Tang

Publication date: 21 February 2013

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.09.009

zbMATH Keywords

symmetric square \(L\)-functionFourier coefficients of cusp forms

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Automorphic forms, one variable (11F12)

Related Items (3)

The average behavior of Fourier coefficients of symmetric power \(L\)-functions ⋮ Uniform estimates for sums of coefficients of symmetric square \(L\)-function ⋮ Asymptotics for the Dirichlet coefficients of symmetric power $L$-functions

Cites Work

• Estimates of a certain sum involving coefficients of cusp forms in weight and level aspects
• Uniform estimates for sums of Fourier coefficients of cusp forms
• SUMS OF FOURIER COEFFICIENTS OF CUSP FORMS
• The spectral growth of automorphic L-functions.
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
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