Detail publikace

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

KLAŠKA, J. SKULA, L.

Originální název

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

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

cubic polynomial, type of factorization, discriminant

Autoři

KLAŠKA, J.; SKULA, L.

Vydáno

25. 10. 2018

Nakladatel

De Gruyter

Místo

Slovakia

ISSN

0139-9918

Periodikum

Mathematica Slovaca

Ročník

68

Číslo

5

Stát

Slovenská republika

Strany od

987

Strany do

1000

Strany počet

13

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"
}