Some Congruences of Kloosterman Sums and their Minimal Polynomials
Number Theory
2010-12-07 v1
Abstract
We prove two results on Kloosterman sums over finite fields, using Stickelberger's theorem and the Gross-Koblitz formula. The first result concerns the minimal polynomial over Q of a Kloosterman sum, and the second result gives a characterisation of ternary Kloosterman sums modulo 27.
Keywords
Cite
@article{arxiv.1012.0964,
title = {Some Congruences of Kloosterman Sums and their Minimal Polynomials},
author = {Faruk Gologlu and Gary McGuire and Richard Moloney},
journal= {arXiv preprint arXiv:1012.0964},
year = {2010}
}