Mean square estimates for coefficients of symmetric power \(L\)-functions
type: Item
instance of: scholarly article
title: Mean square estimates for coefficients of symmetric power \(L\)-functions
zbMATH Open document ID: 1247.11064
author: Huixue Lao
published in: Acta Applicandae Mathematicae
publication date: 2010-05-19T00:00:00Z
Mathematics Subject Classification ID: 11F30
Mathematics Subject Classification ID: 11F11
Mathematics Subject Classification ID: 11F66
zbMATH DE Number: 5709136
zbMATH Keywords: Fourier coefficients of cusp forms
zbMATH Keywords: symmetric power \(L\)-function
zbMATH Keywords: Rankin-Selberg \(L\)-function
MaRDI profile type: Publication
full work available at URL: s10440-009-9497-2
OpenAlex ID: W2085857115
cites work: On the mean value of the error term for a class of arithmetical functions
cites work: Q5693338
cites work: La conjecture de Weil. I
cites work: Mean value theorems for automorphic $L$-functions
cites work: A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
cites work: Q4830109
cites work: Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
cites work: Functorial products for \(\text{GL}_2\times \text{GL}_3\) and the symmetric cube for \(\text{GL}_2\).
cites work: Cuspidality of symmetric powers with applications.
cites work: The average behavior of Fourier coefficients of cusp forms over sparse sequences
cites work: On the mean square formula of the error term for a class of arithmetical functions
cites work: A density theorem on automorphic $L$-functions and some applications
cites work: Q4733917
DOI: 10.1007/S10440-009-9497-2
Recommended article: Discrete mean square estimates for coefficients of symmetric power $L$-functions
Recommended article: Estimates for the Fourier coefficients of symmetric square \(L\)-functions
Recommended article: Uniform estimates for sums of coefficients of symmetric power \(L\)-functions
Recommended article: On the Riesz means of coefficients of \(m\)th symmetric power \(L\)-functions
Recommended article: Uniform estimates for sums of coefficients of symmetric square \(L\)-function
Recommended article: The mean value of symmetric square \(L\)-functions
Recommended article: On the coefficients of symmetric power L-functions
Recommended article: Coefficients of symmetric square \(L\)-functions
Recommended article: Q3444769
Recommended article: Integral power sums of Fourier coefficients of symmetric square $L$-functions
description: scientific article; zbMATH DE number 5709136