ON THE FACTORIZATIONS OF CUBIC POLYNOMIALS WITH THE SAME DISCRIMINANT MODULO A PRIME

被引：1

作者：

Klaska, Jiri ^{[1
]}

Skula, Ladislav ^{[1
]}

机构：

[1] Brno Univ Technol, Inst Math, Fac Mech Engn, Tech 2, Brno 61669, Czech Republic

来源：

MATHEMATICA SLOVACA | 2018年 / 68卷 / 05期

关键词：

cubic polynomial; type of factorization; discriminant; INERTIA; LAW;

D O I：

10.1515/ms-2017-0161

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let D is an element of Z and let C-D 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 C-D have the same type of factorization over the Galois field F-p. (C) 2018 Mathematical Institute Slovak Academy of Sciences.

引用

页码：987 / 1000

页数：14

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