SU\G(𝔸)/K·U

A density theorem and extreme values of automorphic L-functions at one

Yingnan Wang

Type: Article

Publication Date: 2015-01-01

Citations: 3

DOI: https://doi.org/10.4064/aa170-3-1

Abstract

We establish a density theorem for symmetric power $L$-functions attached to primitive Maass forms and explore some applications to extreme values of these $L$-functions at $1$.

Locations

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+ Absolute values of L-functions for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>G</mml:mi><mml:mi>L</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="double-struck">R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> at the point 1 2018 Yuk-Kam Lau
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+ Some notes on distribution of Hecke eigenvalues for Maass cusp forms 2017 Yingnan Wang
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+ On the first negative Hecke eigenvalue of an automorphic representation of GL2($${\mathbb{A}_\mathbb{Q}}$$) 2021 Yuk-Kam Lau
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Works Cited by This (15)

Action Title Year Authors
+ Statistical Properties of Eigenvalues of the Hecke Operators 1987 Peter Sarnak
+ Automorphic Forms and L-Functions for the Group Gl(n, R) 2006 Dorian Goldfeld
+ Trace formulas and their applications on Hecke eigenvalues 2012 Yingnan Wang
+ Introduction to Analytic and Probabilistic Number Theory 2015 Gérald Tenenbaum
+ On Euler Products and the Classification of Automorphic Representations I 1981 H. Jacquet
J. A. Shalika
+ PDF Chat A Large Sieve Inequality of Elliott-Montgomery-Vaughan Type for Automorphic Forms and Two Applications 2008 Yuk-Kam Lau
Jie Wu
+ SUMS OF FOURIER COEFFICIENTS OF CUSP FORMS 2010 Yuk-Kam Lau
Lu Gao
+ PDF Chat Extreme values of symmetric power L-functions at 1 2007 Yuk-Kam Lau
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+ A problem of Linnik for elliptic curves and mean-value estimates for automorphic representations 2000 William Duke
Emmanuel Kowalski
+ Zeros of principal L-functions and random matrix theory 1996 Zeév Rudnick
Peter Sarnak