Mean square estimates for coefficients of symmetric power \(L\)-functions

DOI10.1007/s10440-009-9497-2zbMath1247.11064OpenAlexW2085857115MaRDI QIDQ970505

Huixue Lao

Publication date: 19 May 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-009-9497-2

zbMATH Keywords

Rankin-Selberg \(L\)-functionFourier coefficients of cusp formssymmetric power \(L\)-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)

Related Items (4)

On the fourth moment of coefficients of symmetric square \(L\)-function ⋮ Exponential sums over primes with multiplicative coefficients ⋮ Asymptotics for the Dirichlet coefficients of symmetric power $L$-functions ⋮ Discrete mean square estimates for coefficients of symmetric power $L$-functions

Cites Work

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• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
• The average behavior of Fourier coefficients of cusp forms over sparse sequences
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