Statistics of Hecke eigenvalues for GL(𝑛)

Yuk-Kam Lau, Ming Ho Ng, Yingnan Wang

Type: Article

Publication Date: 2018-09-10

Citations: 3

DOI: https://doi.org/10.1515/forum-2018-0166

View Publication

Locations

Forum Mathematicum - View

Similar Works

Action	Title	Year	Authors
+	Statistics of Hecke eigenvalues	2017	YK Lau
+	Distribution of Hecke Eigenvalues for GL(n)	2016	Jasmin Matz
+ PDF Chat	Joint distribution of Hecke eigenforms	2024	Bingrong Huang
+	The quantitative distribution of Hecke eigenvalues of Maass forms	2022	Moni Kumari Jyoti Sengupta
+	Quantitative versions of the joint distributions of Hecke eigenvalues	2016	Hengcai Tang Yingnan Wang
+ PDF Chat	Some Density Results on Sets of Primes for Hecke Eigenvalues	2021	Aiyue Zou Huixue Lao Shu Luo
+	Average behaviour of Hecke eigenvalues over certain polynomial	2023	Lalit Vaishya
+ PDF Chat	Mixed moments of $\rm GL(2)$ and symmetric square $L$-functions	2024	Bingrong Huang Liangxun Li
+ PDF Chat	Moments and One level density of certain unitary families of Hecke<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>L</mml:mi></mml:math>-functions	2021	Peng Gao Liangyi Zhao
+	On the Hecke Eigenvalues of Maass Forms	2014	Wenzhi Luo Zhou Fan
+ PDF Chat	Distribution of Hecke eigenvalues	2006	Hirofumi Nagoshi
+ PDF Chat	Joint cubic moment of Eisenstein series and Hecke-Maass cusp forms	2024	Charng Rang Guo
+ PDF Chat	The second moment of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="italic">GL</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:mo stretchy="false">)</mml:mo><mml:mo>×</mml:mo><mml:mi mathvariant="italic">GL</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> L-functions, integrated	2010	Matthew P. Young
+ PDF Chat	The quantitative distribution of Hecke eigenvalues of Maass forms	2022	Moni Kumari Jyoti Sengupta
+ PDF Chat	The Second Moment of Sums of Hecke Eigenvalues II	2025	Neil Carmichael
+ PDF Chat	Large sums of Hecke eigenvalues of holomorphic cusp forms	2018	Youness Lamzouri
+	On the average size of the eigenvalues of the Hecke operators	2025	William Cason Akash Jim Charlie Medlock Erick Ross Hui Xue
+ PDF Chat	Joint value distribution of Hecke--Maass forms	2024	Shenghao Hua Bingrong Huang Liangxun Li
+ PDF Chat	The cubic moment of Hecke–Maass cusp forms and moments of L-functions	2023	Bingrong Huang
+ PDF Chat	A Sato–Tate law for GL (3)	2014	Valentin Blomer Jack Buttcane Nicole Raulf

Works That Cite This (3)

Action	Title	Year	Authors
+	On Selberg’s limit theorem for L-functions over a family of GL(n) Hecke–Maass cusp forms	2022	Guohua Chen Yuk-Kam Lau Yingnan Wang
+ PDF Chat	A large sieve inequality of Elliott–Montgomery–Vaughan type for Maass forms on GL($n,\mathbb R$) with applications	2020	Yuk-Kam Lau Ming Ho Ng Emmanuel Royer Yingnan Wang
+	Average Bound Toward the Generalized Ramanujan Conjecture and Its Applications on Sato–Tate Laws for <i>GL</i>(<i>n</i>)	2020	Yuk-Kam Lau Ming Ho Ng Yingnan Wang

Works Cited by This (24)

Action	Title	Year	Authors
+	Automorphic Forms and L-Functions for the Group Gl(n, R)	2006	Dorian Goldfeld
+	Representation Theory: A First Course	1991	William Fulton
+ PDF Chat	Répartition asymptotique des valeurs propres de l’opérateur de Hecke 𝑇_𝑝	1997	Jean-Pierre Serre
+ PDF Chat	Distribution of Hecke eigenvalues	2006	Hirofumi Nagoshi
+	Introduction to Analytic and Probabilistic Number Theory	2015	Gérald Tenenbaum
+ PDF Chat	The distribution of the eigenvalues of Hecke operators	1997	J. Brian Conrey William Duke David W. Farmer
+ PDF Chat	On the central limit theorem and the law of the iterated logarithm	2008	Katusi Fukuyama Yôhei Ueno
+	The Sup-Norm Problem for PGL(4)	2014	Valentin Blomer Péter Maga
+	Statistics of the Zeros of Zeta Functions in a Family of Curves over a Finite Field	2010	Maosheng Xiong
+	A Theorem on the Law of the Iterated Logarithm	1971	V. V. Petrov