L. Cai

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math.NT2026

Bessel Distributions and Kloosterman Sums

Li Cai, Jingsong Chai, Yadi Liu

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 regula…

math.NT2026

Distributions of Integral Points and Dedekind Zeta Values

Li Cai, Taiwang Deng

Let $O$ be the ring of integers for some number field $F$ . Let $I ¨ (x) \in O [x]$ be a regular monic polynomial of degree $n$ . We study the asymptotic count of int…

math.NT2025

Higher Ext-groups and Relatively Supercuspidal Spectra

Li Cai, Yangyu Fan

Relatively supercuspidal representations are analogue of supercuspidal representations in the relative Langlands program. This work studies relatively supercuspidal representations…