Power moments of Kloosterman sums
Number Theory
2016-02-22 v2 Algebraic Geometry
Abstract
In this paper we give an essential treatment for estimating arbitrary integral power moments of Kloosterman sums over the residue class ring. For prime moduli we derive explicit estimates, and for prime-power moduli we prove concrete formulas using computations with Igusa zeta functions.
Keywords
Cite
@article{arxiv.1306.4104,
title = {Power moments of Kloosterman sums},
author = {Ke Gong and Willem Veys and Daqing Wan},
journal= {arXiv preprint arXiv:1306.4104},
year = {2016}
}
Comments
To appear in Journal of Number Theory, 25 pages