paper

On the Zeros of Fermat Quotients and Mirimanoff Polynomials

arXiv:math/0604427

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.

8 pages

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On the Zeros of Fermat Quotients and Mirimanoff Polynomials · wovepaper