On higher moments of Dirichlet coefficients attached to symmetric square \(L\)-functions over certain sparse sequence
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Publication:6142699
DOI10.1007/s12215-023-00898-0MaRDI QIDQ6142699
Unnamed Author, Guodong Hua, Xiaofang Chen, Lijing Pan
Publication date: 4 January 2024
Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)
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
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- Fourier coefficients of symmetric power \(L\)-functions
- Uniform estimates for sums of coefficients of symmetric square \(L\)-function
- Level raising and symmetric power functoriality. II
- Level-raising and symmetric power functoriality. III.
- Average behavior of Fourier coefficients of cusp forms over sum of two squares
- Uniform estimates for sums of Fourier coefficients of cusp forms
- Local coefficients as Artin factors for real groups
- General L-functions
- A proof of Langlands' conjecture on Plancherel measures; complementary series for \(p\)-adic groups
- La conjecture de Weil. I
- Cuspidality of symmetric powers with applications.
- Functorial products for \(\text{GL}_2\times \text{GL}_3\) and the symmetric cube for \(\text{GL}_2\).
- Zeros of principal \(L\)-functions and random matrix theory
- Estimates for the Fourier coefficients of symmetric square \(L\)-functions
- Symmetric power functoriality for holomorphic modular forms
- Symmetric power functoriality for holomorphic modular forms. II.
- General asymptotic formula of Fourier coefficients of cusp forms over sum of two squares
- Discrete mean square of the coefficients of symmetric square \(L\)-functions on certain sequence of positive numbers
- On a sum involving Fourier coefficients of cusp forms
- Higher moments of the Fourier coefficients of symmetric square \(L\)-functions on certain sequence
- Decoupling, exponential sums and the Riemann zeta function
- Level-raising and symmetric power functoriality, I
- On the higher mean over arithmetic progressions of Fourier coefficients of cusp forms
- Rankin-Selberg Convolutions
- Mean value theorems for automorphic $L$-functions
- SUMS OF FOURIER COEFFICIENTS OF CUSP FORMS
- Power sums of Hecke eigenvalues and application
- Fourier Transforms of Intertwining Operators and Plancherel Measures for GL(n)
- On Certain L-Functions
- On Euler Products and the Classification of Automorphic Representations I
- On Euler Products and the Classification of Automorphic Forms II
- THE TWELFTH POWER MOMENT OF THE RIEMANN-FUNCTION
- A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
- Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
- THE FOURIER COEFFICIENTS OF Θ‐SERIES IN ARITHMETIC PROGRESSIONS
- Asymptotics for the Dirichlet coefficients of symmetric power $L$-functions
- Discrete mean square estimates for coefficients of symmetric power $L$-functions
- Integral power sums of Fourier coefficients of symmetric square $L$-functions
- Strong Subconvexity for Self-Dual GL(3) L-Functions
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