On the higher power moments of cusp form coefficients over sums of two squares (Q5878448)

scientific article; zbMATH DE number 7655785

Language	Label	Description	Also known as
English	On the higher power moments of cusp form coefficients over sums of two squares	scientific article; zbMATH DE number 7655785

Statements

instance of

scholarly article

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title

On the higher power moments of cusp form coefficients over sums of two squares (English)

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author

Guodong Hua

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published in

Czechoslovak Mathematical Journal

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publication date

21 February 2023

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zbMATH Keywords

Fourier coefficient

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automorphic $L$-function

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Langlands program

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.21136/cmj.2022.0358-21

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cites work

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Level-raising and symmetric power functoriality. III.

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Fourier coefficients of cusp forms and automorphic $L$-functions

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Mean value theorems for automorphic $L$-functions

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A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$

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On sums of Fourier coefficients of cusp forms

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Integral power sums of Fourier coefficients of symmetric square $L$-functions

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On the Rankin-Selberg problem

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Q3135209

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Q4830109

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Rankin-Selberg Convolutions

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On Euler Products and the Classification of Automorphic Representations I

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On Euler Products and the Classification of Automorphic Forms II

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Uniform estimates for sums of coefficients of symmetric square $L$-function

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Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂

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Cuspidality of symmetric powers with applications.

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Functorial products for $\text{GL}_2\times \text{GL}_3$ and the symmetric cube for $\text{GL}_2$.

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Sign changes and nonvanishing of Fourier coefficients of holomorphic cusp forms

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SUMS OF FOURIER COEFFICIENTS OF CUSP FORMS

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Integral power sums of Hecke eigenvalues

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Average behavior of Fourier coefficients of cusp forms

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The sixth and eighth moments of Fourier coefficients of cusp forms

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Uniform estimates for sums of Fourier coefficients of cusp forms

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On Higher Moments of Fourier Coefficients of Holomorphic Cusp Forms

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Asymptotics for the Dirichlet coefficients of symmetric power $L$-functions

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The fourth moment of the Ramanujan tau-function

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Symmetric power functoriality for holomorphic modular forms

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Symmetric power functoriality for holomorphic modular forms. II.

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Q5774823

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Q3975270

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Zeros of principal $L$-functions and random matrix theory

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On a sum involving Fourier coefficients of cusp forms

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Discrete mean square estimates for coefficients of symmetric power $L$-functions

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On Certain L-Functions

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Fourier Transforms of Intertwining Operators and Plancherel Measures for GL(n)

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Local coefficients as Artin factors for real groups

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Q4733917

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A proof of Langlands' conjecture on Plancherel measures; complementary series for $p$-adic groups

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Estimates for the Fourier coefficients of symmetric square $L$-functions

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Fourier coefficients of symmetric power $L$-functions

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Power sums of Hecke eigenvalues and application

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Average behavior of Fourier coefficients of cusp forms over sum of two squares

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Identifiers

DOI

10.21136/CMJ.2022.0358-21

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5878448