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arXiv · 2204.08868

The density conjecture for principal congruence subgroups

Edgar Assing·Valentin Blomer
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Abstract

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.

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Edgar Assing, Valentin Blomer. 2022-04-19. The density conjecture for principal congruence subgroups. https://arxiv.org/abs/2204.08868

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