GSp（4）的内窥镜同余模伴随L-值

IF 0.5 4区数学 Q3 MATHEMATICS

Kyoto Journal of Mathematics Pub Date : 2023-01-01 DOI:10.1215/21562261-10428456

Francesco Lemma, T. Ochiai

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引用次数: 1

摘要

．我们建立了无平方导体的GSp(4)的一个固定的内视镜全局通用的倒角自同构表示Π与由适当周期归一化的Π的伴随L函数在1处的某些素因子的相同权模的稳定的倒角自同构表示之间的同余性。

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

. We establish the existence of congruences between a ﬁxed endoscopic, globally generic, cuspidal automorphic representation Π of GSp(4) of square-free conductor and stable cuspidal automorphic representations of the same weight modulo certain prime factors of the value at 1 of the adjoint L -function of Π normalized by a suitable period.

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来源期刊

Kyoto Journal of Mathematics MATHEMATICS-

CiteScore

1.10

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： The Kyoto Journal of Mathematics publishes original research papers at the forefront of pure mathematics, including surveys that contribute to advances in pure mathematics.