Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Zeros of Fermat Quotients and Mirimanoff Polynomials   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.

36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph