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.
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页数：28
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