Detail publikačního výsledku

On the factorization of cubic polynomials with the same discriminant modulo a prime

KLAŠKA, J.; SKULA, L.

Original Title

On the factorization of cubic polynomials with the same discriminant modulo a prime

English Title

On the factorization of cubic polynomials with the same discriminant modulo a prime

Type

WoS Article

Original Abstract

Let D\in Z and let C_D be the set of all monic cubic polynomilals 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 Galois field F_p.

English abstract

Let D\in Z and let C_D be the set of all monic cubic polynomilals 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 Galois field F_p.

Keywords

cubic polynomial, type of factorization, discriminant

Key words in English

cubic polynomial, type of factorization, discriminant

Authors

KLAŠKA, J.; SKULA, L.

RIV year

2019

Released

25.10.2018

Publisher

De Gruyter

Location

Slovakia

ISBN

0139-9918

Periodical

Mathematica Slovaca

Volume

68

Number

5

State

Slovak Republic

Pages from

987

Pages to

1000

Pages count

13

Full text in the Digital Library

http://hdl.handle.net/

BibTex

@article{BUT156040,
  author="Jiří {Klaška} and Ladislav {Skula}",
  title="On the factorization of cubic polynomials with the same discriminant modulo a prime",
  journal="Mathematica Slovaca",
  year="2018",
  volume="68",
  number="5",
  pages="987--1000",
  doi="10.1515/ms-2017-0161",
  issn="0139-9918"
}