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Equidistribution of Kloosterman sums over function fields

Published 14 Jun 2024 in math.NT and math.AG | (2406.10106v1)

Abstract: 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.

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