Endoscopic congruences modulo adjoint L-values for GSp(4)

被引：0
|
作者：
Lemma, Francesco [1 ,2 ]
Ochiai, Tadashi [3 ]
机构：
[1] Univ Paris, Paris, France
[2] Sorbonne Univ, Inst Math Jussieu Paris Rive Gauche, CNRS, Paris, France
[3] Tokyo Inst Technol, Dept Math, Tokyo, Japan
来源：
KYOTO JOURNAL OF MATHEMATICS | 2023年 / 63卷 / 02期
基金：
日本学术振兴会;
关键词：
CUSP FORMS; AUTOMORPHIC-FORMS; YOSHIDA LIFTS; COHOMOLOGY; REPRESENTATIONS; GL(2);
D O I：
10.1215/21562261-10428456
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish the existence of congruences between a fixed endoscopic, glob-ally generic, cuspidal automorphic representation pi of GSp(4) of square-free conduc-tor and stable cuspidal automorphic representations of the same weight modulo certain prime factors of the value at 1 of the adjoint L-function of pi, normalized by a suitable period.
引用
收藏
页码：281 / 334
页数：54
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