Chevalley群的同余子群的Weyl律的余项

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS

ACS Applied Bio Materials Pub Date : 2019-08-19 DOI:10.1215/00127094-2020-0094

Tobias Finis, E. Lapid

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引用次数: 6

摘要

设$X$是一个局部对称空间，由一个简单的Chevalley群$G$和$G(\mathbb Q)$的同余子群$G$定义。在这种通用性下，Lindenstrauss—Venkatesh证明了$X$的Weyl定律。在$G$单连通的情况下，我们通过给出剩余项的省电估计来锐化它们的结果。

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On the remainder term of the Weyl law for congruence subgroups of Chevalley groups

Let $X$ be a locally symmetric space defined by a simple Chevalley group $G$ and a congruence subgroup of $G(\mathbb Q)$. In this generality, the Weyl law for $X$ was proved by Lindenstrauss--Venkatesh. In the case where $G$ is simply connected, we sharpen their result by giving a power saving estimate for the remainder term.

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464