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math.NT2026
Stevens' Approach to Kloosterman Sums on Split Groups
Li Cai, Haoran Liu, Mingyu Yang +1
We develop a uniform framework for Stevens' approach to Kloosterman sums on split groups over -adic fields. The main result reduces the bounding of Kloosterman sums to that for…
math.NT2026
Bessel Distributions and Kloosterman Sums
Li Cai, Jingsong Chai, Yadi Liu
Let be a split reductive group over a -adic field. We give germ expansions of Kloosterman integrals for . As an application, we prove that Bessel distributions are regula…