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arXiv · 2610.41332

Kloosterman Sums and Plücker Height Zeta Functions

Li Cai·Jingsong Chai·Yadi Liu·Mingyu Yang
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Abstract

We establish nontrivial bounds for Kloosterman sums over $p$-adic fields associated with the longest Weyl element on arbitrary split reductive groups, at arbitrary level. As an application, we obtain the regularity of Bessel distributions (of Whittaker models) for all such groups.

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Li Cai, Jingsong Chai, Yadi Liu, Mingyu Yang. 2026-10-30. Kloosterman Sums and Plücker Height Zeta Functions. https://arxiv.org/abs/2610.41332

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