Equidistribution of Kloosterman sums over function fields
Number Theory
2025-11-25 v2 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.2406.10106,
title = {Equidistribution of Kloosterman sums over function fields},
author = {Lei Fu and Yuk-Kam Lau and Wen-Ching Winnie Li and Ping Xi},
journal= {arXiv preprint arXiv:2406.10106},
year = {2025}
}
Comments
Published in IMRN (2025)