On the exponential sums estimates related to Fourier coefficients of GL3 Hecke-Maaß forms

被引：0

作者：

Hou, Fei ^{[1
]}

机构：

[1] Xian Univ Technol, Coll Sci, Dept Math, Xian 710054, Peoples R China

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 04期

关键词：

Maa? forms; exponential sums; Fourier coefficients; ADDITIVE TWISTS;

D O I：

10.3934/math.2023392

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let F be a normlized Hecke-Maass form for the congruent subgroup Gamma 0(N) with trivial nebentypus. In this paper, we study the problem of the level aspect estimates for the exponential sum XLF(alpha) = n <= X AF(n, 1)e(n alpha). As a result, we present an explicit non-trivial bound for the sum LF(alpha) in the case of N = P. In addition, we investigate the magnitude for the non-linear exponential sums with the level being explicitly determined from the sup-norm's point of view as well.

引用

页码：7806 / 7816

页数：11

共 39 条

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