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15 March 2021 On the remainder term of the Weyl law for congruence subgroups of Chevalley groups
Tobias Finis, Erez Lapid
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Duke Math. J. 170(4): 653-695 (15 March 2021). DOI: 10.1215/00127094-2020-0094

Abstract

Let X be a locally symmetric space defined by a simple Chevalley group G and a congruence subgroup of G(Q). In this generality, the Weyl law for X was proved by Lindenstrauss and 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. "On the remainder term of the Weyl law for congruence subgroups of Chevalley groups." Duke Math. J. 170 (4) 653 - 695, 15 March 2021. https://doi.org/10.1215/00127094-2020-0094

Information

Received: 17 September 2019; Revised: 12 July 2020; Published: 15 March 2021
First available in Project Euclid: 28 January 2021

Digital Object Identifier: 10.1215/00127094-2020-0094

Subjects:
Primary: 11F70
Secondary: 11F72, 22E55

Rights: Copyright © 2021 Duke University Press

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Vol.170 • No. 4 • 15 March 2021
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