An explicit Voronoi formula for SL3(R) newforms underlying the symmetric lifts in the level aspect

被引：0

作者：

Hou, Fei ^{[1
]}

Lue, Guangshi ^{[2
]}

机构：

[1] Xian Univ Technol, Sch Sci, Xian 710054, Peoples R China

[2] Shandong Univ, Sch Math, Jinan 250100, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2024年 / 20卷 / 03期

关键词：

Symmetric square lifts; Fourier coefficients; Voronoi for the symmetric square lift; automorphic representations over local and global fields; WHITTAKER FUNCTIONS; SUMMATION; GL(N);

D O I：

10.1142/S1793042124500404

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F be a newform for SL3(R) underlying the symmetric square lift of a (either holomorphic or Hecke-Maas) newform f of square-free level and trivial nebentypus. In this paper, we present the classical level aspect version of the Voronoi formula for the symmetric square lift is established in an alternative way by tracing back to its geometric nature, compared with Zhou's work [F. Zhou, The Voronoi formula on GL(3) with ramification, preprint (2018), arXiv:1806.10786].

引用

页码：797 / 809

页数：13