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arXiv · 2606.29852

Bessel Distributions and Kloosterman Sums

Li Cai·Jingsong Chai·Yadi Liu
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Abstract

Let $G$ be a split reductive group over a $p$-adic field. We give germ expansions of Kloosterman integrals for $G$. As an application, we prove that Bessel distributions are regular for all generic representations on $G$ provided that Kloosterman sums for any Levi subgroups of $G$ have nontrivial bounds.

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Li Cai, Jingsong Chai, Yadi Liu. 2026-06-29. Bessel Distributions and Kloosterman Sums. https://arxiv.org/abs/2606.29852

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