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arXiv · 1908.06626

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

Tobias Finis·Erez Lapid
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Abstract

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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Tobias Finis, Erez Lapid. 2019-08-19. On the remainder term of the Weyl law for congruence subgroups of Chevalley groups. https://doi.org/10.1215/00127094-2020-0094

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