Kloosterman sums on orthogonal groups

Catinca Mujdei

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arXiv · 2410.20569

Kloosterman sums on orthogonal groups

Catinca Mujdei

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Abstract

We study Kloosterman sums on the orthogonal groups $SO_{3,3}$ and $SO_{4,2}$, associated to short elements of their respective Weyl groups. An explicit description for these sums is obtained in terms of multi-dimensional exponential sums. These are bounded by a combination of methods from algebraic geometry and $p$-adic analysis.

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Catinca Mujdei. 2024-10-27. Kloosterman sums on orthogonal groups. https://arxiv.org/abs/2410.20569

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