Matrix Kloosterman sums modulo prime powers
Number Theory
2024-01-26 v3
Abstract
We give optimal bounds for matrix Kloosterman sums modulo prime powers extending earlier work of the first two authors on the case of prime moduli. These exponential sums arise in the theory of the horocyclic flow on .
Keywords
Cite
@article{arxiv.2209.08021,
title = {Matrix Kloosterman sums modulo prime powers},
author = {Márton Erdélyi and Árpád Tóth and Gergely Zábrádi},
journal= {arXiv preprint arXiv:2209.08021},
year = {2024}
}
Comments
20 pages, v2: revised according to referee's comments, fixed an error in Prop. 3.4, v3: minor changes