Estimates for Fourier coefficients of cusp forms in weight aspect

DOI10.1007/s11401-016-1013-1zbMath1414.11055OpenAlexW2515315533MaRDI QIDQ335055

Hengcai Tang

Publication date: 2 November 2016

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-016-1013-1

zbMATH Keywords

Fourier coefficientscusp formssymmetric square \(L\)-function

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11)

Cites Work

• Unnamed Item
• Unnamed Item
• Weak subconvexity for central values of \(L\)-functions
• Bounds for \(\mathrm{GL}(3) \times \mathrm{GL}(2)\) \(L\)-functions and \(\mathrm{GL}(3)\) \(L\)-functions
• 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
• Estimates for the Fourier coefficients of symmetric square \(L\)-functions
• Projective modules and blocks of supersolvable restricted Lie algebras
• On a sum involving Fourier coefficients of cusp forms
• A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
• On an asymptotic formula of Srinivasa Ramanujan
• Hilbert's Inequality
• Low lying zeros of families of \(L\)-functions