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Bessel Distributions and Kloosterman Sums

Cai, Li et al.
arXiv (OAI Expanded) · Papers
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number-theoryrepresentation-theory
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 bo
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