Matrix Kloosterman sums modulo prime powers

被引：0
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作者：
M. Erdélyi
Á. Tóth
G. Zábrádi
机构：
[1] HUN-REN Alfréd Rényi Institute of Mathematics,“Lendület” Analytic Number Theory and Representation Theory Research Group
[2] Budapest University of Technology and Economics,Institute of Mathematics
[3] Eötvös Loránd University,“Lendület” Automorphic Research Group
[4] HUN-REN Alfréd Rényi Institute of Mathematics,undefined
来源：
Mathematische Zeitschrift | 2024年 / 306卷
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摘要：
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 GLn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$GL_n$$\end{document}.
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