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arXiv:2204.08868 [math.NT]AbstractReferencesReviewsResources

The density conjecture for principal congruence subgroups

Edgar Assing, Valentin Blomer

Published 2022-04-19Version 1

We prove Sarnak's density conjecture for the principal congruence subgroup of SL_n(Z) of squarefree level and discuss various arithmetic applications. The ingredients include new bounds for local Whittaker functions and Kloosterman sums.

Comments: 41 pages
Categories: math.NT, math.RT
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