A New Bound for Kloosterman Sums
Number Theory
2007-05-23 v3 Algebraic Geometry
Abstract
We give generating functions for Gauss sums for finite general linear and unitary groups. For the general linear case only our method of proof is new, but we deduce a bound on Kloosterman sums which is sometimes sharper than Deligne's bound from algebraic geometry.
Cite
@article{arxiv.math/0105172,
title = {A New Bound for Kloosterman Sums},
author = {Jason Fulman},
journal= {arXiv preprint arXiv:math/0105172},
year = {2007}
}
Comments
We add a remark on Fourier analysis and make minor revisions