The Jacquet-Langlands Correspondence via Twisted Descent

被引：7

作者：

Jiang, Dihua ^{[1
]}

Liu, Baiying ^{[2
]}

Xu, Bin ^{[3
]}

Zhang, Lei ^{[4
]}

机构：

[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

[2] Inst Adv Study, Sch Math, Einstein Dr, Princeton, NJ 08540 USA

[3] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

[4] Natl Univ Singapore, Dept Math, Singapore 119076, Singapore

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2016年 / 2016卷 / 18期

基金：

美国国家科学基金会; 中国国家自然科学基金;

关键词：

AUTOMORPHIC-FORMS; FOURIER COEFFICIENTS; CLASSICAL-GROUPS; SERIES; CHARACTERS; VALUES; POLES;

D O I：

10.1093/imrn/rnv312

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The existence of the well-known Jacquet-Langlands correspondence was established by Jacquet and Langlands via the trace formula method in 1970 [13]. An explicit construction of such a correspondence was obtained by Shimizu via theta series in 1972 [30]. In this paper, we extend the automorphic descent method of Ginzburg-Rallis-Soudry [10] to a new setting. As a consequence, we recover the classical Jacquet-Langlands correspondence for PGL(2) via a new explicit construction.

引用

页码：5455 / 5492

页数：38

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