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arXiv:2406.10106 [math.NT]AbstractReferencesReviewsResources

Equidistribution of Kloosterman sums over function fields

Lei Fu, Yuk-Kam Lau, Wen-Ching Winnie Li, Ping Xi

Published 2024-06-14Version 1

We prove the Sato--Tate distribution of Kloosterman sums over function fields with explicit error terms, when the places vary in arithmetic progressions or short intervals. A joint Sato--Tate distribution of two ``different" exponential sums is also proved.

Categories: math.NT, math.AG
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