Integral mean-square estimation of error terms of Fourier coefficients attached to cusp forms

DOI10.1007/s12044-023-00737-3zbMath1523.11069OpenAlexW4379988271MaRDI QIDQ6175461

Publication date: 24 July 2023

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-023-00737-3

zbMATH Keywords

automorphic $L$-functions Langlands program Hecke eigenforms

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
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Level raising and symmetric power functoriality. II
Level-raising and symmetric power functoriality. III.
A family of Calabi-Yau varieties and potential automorphy. II.
On the mean-square of the error term related to $\sum_{n\leq x} \lambda^2 (n^j)$
On the Rankin-Selberg problem
Integral mean square estimation for the error term related to $\sum_{n\leq x}\lambda ^2 (n^2)$
Perron's formula and the prime number theorem for automorphic $L$-functions
Local coefficients as Artin factors for real groups
General L-functions
Fourier coefficients of cusp forms and automorphic $L$-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
Symmetric power functoriality for holomorphic modular forms
Symmetric power functoriality for holomorphic modular forms. II.
Sign changes and nonvanishing of Fourier coefficients of holomorphic cusp forms
Decoupling, exponential sums and the Riemann zeta function
Level-raising and symmetric power functoriality, I
Rankin-Selberg Convolutions
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
A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
On Riesz means of the coefficients of the Rankin–Selberg series
Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
A new subconvex bound for GL(3) L-functions in the t-aspect
Asymptotics for the Dirichlet coefficients of symmetric power $L$-functions

This page was built for publication: Integral mean-square estimation of error terms of Fourier coefficients attached to cusp forms