On exponential sums for coefficients of general L-functions

DOI10.1142/S1793042121500664zbMath1483.11173OpenAlexW3134059051WikidataQ115522991 ScholiaQ115522991MaRDI QIDQ3382992

Publication date: 23 September 2021

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042121500664

zbMATH Keywords

exponential sums coefficients of $L$-functions extended Selberg class general $L$-functions

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Fourier coefficients of automorphic forms (11F30) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Cites Work

Sums of coefficients of $L$-functions and applications
Fourier coefficients of $\mathrm{GL}(N)$ automorphic forms in arithmetic progressions
Weak subconvexity for central values of $L$-functions
Resonance between automorphic forms and exponential functions
Bounds for $\mathrm{GL}(3) \times \mathrm{GL}(2)$ $L$-functions and $\mathrm{GL}(3)$ $L$-functions
Automorphic distributions, $L$-functions, and Voronoi summation for $\text{GL}(3)$
Resonance and rapid decay of exponential sums of Fourier coefficients of a Maass form for $\mathrm{GL}_m(\mathbb Z)$
On exponential sums involving the Ramanujan function
Bilinear forms in the Fourier coefficients of half-integral weight cusp forms and sums over primes
Cusp forms and eigenfunctions of the Laplacian
Exponential sums associated with algebraic number fields
Lectures on a method in the theory of exponential sums
Exponential sums associated with the Dedekind zeta-function
The cubic moment of central values of automorphic $L$-functions
Oscillations of Fourier coefficients of $\mathrm{GL}(m)$ Hecke-Maass forms and nonlinear exponential functions at primes
Additive twists of Fourier coefficients of modular forms
On Selberg's eigenvalue conjecture
Zeta functions of simple algebras
The approximate functional equation for a class of zeta-functions
On Cusp form Coefficients in Exponential Sums
Sums of Fourier coefficients of a Maass form for SL3(ℤ) twisted by exponential functions
On sums involving coefficients of automorphic $L$-functions
Voronoi formulas on GL(n)
On Short Exponential Sums Involving Fourier Coefficients of Holomorphic Cusp Forms
The Voronoi Formula for GL(n, R)
A general Voronoi summation formula for GL(n,Z)
On the Voronoĭ formula for GL(<i>n</i>)
The circle method and bounds for 𝐿-functions—III: 𝑡-aspect subconvexity for 𝐺𝐿(3) 𝐿-functions
Summation Formulae for Coefficients of L-functions
Cancellation in additively twisted sums on GL(n)
Automorphic Forms and L-Functions for the GroupGL(n, R)
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