Affiliation:
1. Institute of Mathematics Faculty of Mechanical Engineering , Brno University of Technology , Technická , 616 69 Brno , Czech Republic
Abstract
Abstract
Let D ∈ ℤ and let CD
be the set of all monic cubic polynomials with integer coefficients having a discriminant equal to D. In this paper, we devise a general method of establishing whether, for a prime p, all polynomials in CD
have the same type of factorization over the Galois field
F
p
$\Bbb F_p$
.
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