On the Zeros of Fermat Quotients and Mirimanoff Polynomials

Details On the Zeros of Fermat Quotients and Mirimanoff Polynomials On the Zeros of Fermat Quotients and Mirimanoff Polynomials

2006-04-19

arxiv.org/abs/math/0604427v1

Mathematics

Number Theory

8 pages

Scientific paper

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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