Exponential sums involving automorphic forms for \(\mathrm{GL}(3)\) over arithmetic progressions
type: Item
instance of: scholarly article
title: Exponential sums involving automorphic forms for \(\mathrm{GL}(3)\) over arithmetic progressions
zbMATH Open document ID: 1440.11149
author: Xiaoguang He
published in: Frontiers of Mathematics in China
publication date: 2019-03-14T00:00:00Z
Mathematics Subject Classification ID: 11L05
Mathematics Subject Classification ID: 11L07
Mathematics Subject Classification ID: 11F30
zbMATH DE Number: 7036354
zbMATH Keywords: automorphic forms for \(\mathrm{GL}(3)\)
zbMATH Keywords: exponential sum
zbMATH Keywords: arithmetic progression
describes a project that uses: GL(n)pack
MaRDI profile type: Publication
full work available at URL: s11464-018-0732-x
OpenAlex ID: W2896850491
Wikidata QID: Q115602153
cites work: Automorphic Forms and L-Functions for the GroupGL(n, R)
cites work: Voronoi formulas on GL(n)
cites work: The Voronoi Formula for GL(n, R)
cites work: Low lying zeros of families of \(L\)-functions
cites work: On the structure of the Selberg class, VI: non-linear twists
cites work: Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
cites work: The central value of the Rankin-Selberg \(L\)-functions
cites work: Automorphic distributions, \(L\)-functions, and Voronoi summation for \(\text{GL}(3)\)
cites work: Resonance between automorphic forms and exponential functions
cites work: ASYMPTOTIC VORONOI'S SUMMATION FORMULAS AND THEIR DUALITY FOR SL3(ℤ)
cites work: Resonance of automorphic forms for 𝐺𝐿(3)
cites work: Q3409184
cites work: Exponential sums involving Maass forms
cites work: On some exponential sums involving Maass forms over arithmetic progressions
DOI: 10.1007/S11464-018-0732-X
Recommended article: On certain exponential sums related to \(\text{GL}(3)\) cusp forms
Recommended article: Q4662295
Recommended article: Exponential sums formed with the von Mangoldt function and Fourier coefficients of \(\mathrm{GL}(m)\) automorphic forms
Recommended article: Exponential sums with Fourier coefficients of automorphic forms
Recommended article: Q4204214
Recommended article: Automorphic forms on GL(3,\({\mathbb{R}})\)
Recommended article: Fourier coefficients of \(\mathrm{GL}(N)\) automorphic forms in arithmetic progressions
Recommended article: Automorphic distributions, \(L\)-functions, and Voronoi summation for \(\text{GL}(3)\)
Recommended article: On exponential sums involving coefficients of \(L\)-functions for \(\mathrm{SL}(3, \mathbb{Z})\) over primes
Recommended article: On some exponential sums involving Maass forms over arithmetic progressions
description: scientific article; zbMATH DE number 7036354