Statistics of Hecke eigenvalues for \(\mathrm{GL}(n)\)
type: Item
instance of: scholarly article
title: Statistics of Hecke eigenvalues for \(\mathrm{GL}(n)\)
zbMATH Open document ID: 1460.11064
author: Yuk-Kam Lau
author: Ming Ho Ng
author: Yingnan Wang
published in: Forum Mathematicum
publication date: 2019-03-20T00:00:00Z
Mathematics Subject Classification ID: 11F37
Mathematics Subject Classification ID: 11F30
Mathematics Subject Classification ID: 11F72
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 7039547
zbMATH Keywords: central limit theorem
zbMATH Keywords: Hecke eigenvalues
zbMATH Keywords: automorphic forms for \(\mathrm{GL}(n)\)
MaRDI profile type: Publication
full work available at URL: forum-2018-0166
OpenAlex ID: W2890584322
cites work: SPHERICAL FUNCTIONS FORGLnOVER LOCAL FIELDS, AND SUMMATION OF HECKE SERIES
cites work: On the Central Limit Theorem for the Prime Divisor Function
cites work: The Sup-Norm Problem for PGL(4)
cites work: The characteristic polynomial of a random unitary matrix: a probabilistic approach
cites work: Distribution of zeta zeroes of Artin-Schreier covers
cites work: Central limit theorem for Artin L-functions
cites work: The distribution of the eigenvalues of Hecke operators
cites work: Statistics of the zeros of zeta functions in families of hyperelliptic curves over a finite field
cites work: On the central limit theorem and the law of the iterated logarithm
cites work: Q4002278
cites work: Stochastic processes. Theory for applications.
cites work: Automorphic Forms and L-Functions for the GroupGL(n, R)
cites work: Q3999037
cites work: The distribution of the logarithm in an orthogonal and a symplectic family of L-functions
cites work: The fluctuations in the number of points on a hyperelliptic curve over a finite field
cites work: Absolute values of \(L\)-functions for \(\mathrm{GL}(n, \mathbb{R})\) at the point 1
cites work: Q4399987
cites work: Sato-Tate equidistribution for families of Hecke-Maass forms on \(\mathrm{SL}(n,\mathbb{R})/\mathrm{SO}(n)\)
cites work: Distribution of Hecke eigenvalues
cites work: A Theorem on the Law of the Iterated Logarithm
cites work: Fluctuations in the Distribution of Hecke Eigenvalues about the Sato–Tate Measure
cites work: Répartition asymptotique des valeurs propres de l’opérateur de Hecke 𝑇_𝑝
cites work: Q3123961
cites work: Asymptotic Statistics
cites work: THE QUANTITATIVE DISTRIBUTION OF HECKE EIGENVALUES
cites work: Statistics of the Zeros of Zeta Functions in a Family of Curves over a Finite Field
DOI: 10.1515/FORUM-2018-0166
description: scientific article; zbMATH DE number 7039547