Equidistribution of Fourier coefficients of integral weight Maass-Poincare series

被引：0

作者：

Masri, Riad ^{[1
]}

Tsai, Wei-Lun ^{[2
]}

机构：

[1] Texas A&M Univ, Dept Math, Mailstop 3368, College Stn, TX 77843 USA

[2] Univ Virginia, Dept Math, Charlottesville, VA 22904 USA

来源：

ADVANCES IN MATHEMATICS | 2022年 / 409卷

关键词：

Equidistribution; Fourier coefficient; Weak Maass form; Sato-Tate measure; PRODUCTS;

D O I：

10.1016/j.aim.2022.108637

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the normalized Fourier coefficients of a generic family of Maass-Poincare series of integral weight k and prime level p become quantitatively equidistributed with respect to the Sato-Tate measure as p -> infinity. As a consequence, we deduce similar results for harmonic Maass forms of integral weight k <= 0 and level p, and weakly holomorphic modular forms of integral weight k >= 2 and level p.(C) 2022 Elsevier Inc. All rights reserved.

引用

页数：28

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