On the Zeros of Fermat Quotients and Mirimanoff Polynomials
Number Theory
2007-05-23 v1
Abstract
In this article an upper bound for the first consecutive zeros of the Fermat quotient is given in terms of the zeros of a Mirimanoff polynomial. This bound is obtained by investigating a relation between these polynomials and the factor system of Gauss sums of a certain number field.
Cite
@article{arxiv.math/0604427,
title = {On the Zeros of Fermat Quotients and Mirimanoff Polynomials},
author = {Bjoern Grohmann},
journal= {arXiv preprint arXiv:math/0604427},
year = {2007}
}
Comments
8 pages