On the Zeros of Fermat Quotients and Mirimanoff Polynomials

Bjoern Grohmann

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arXiv · math/0604427

On the Zeros of Fermat Quotients and Mirimanoff Polynomials

Bjoern Grohmann

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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.

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Bjoern Grohmann. 2006-04-19. On the Zeros of Fermat Quotients and Mirimanoff Polynomials. https://arxiv.org/abs/math/0604427

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