Detail publikace

On cubic polynomials with a given discriminant

KLAŠKA, J.

Anglický název

On cubic polynomials with a given discriminant

Typ

článek v časopise ve Scopus, Jsc

Jazyk

en

Originální abstrakt

Let $D\in Bbb Z$ and let $C_D$ be the set of all monic cubic polynomials with integer coefficients and with the discriminant equal to $D$. In this paper we devise a method for determining the set $C_D$. Our method is closely related to integer solutions of Mordell’s equation. A complete discussion of the case $D = 0$ is also included.

Anglický abstrakt

Let $D\in Bbb Z$ and let $C_D$ be the set of all monic cubic polynomials with integer coefficients and with the discriminant equal to $D$. In this paper we devise a method for determining the set $C_D$. Our method is closely related to integer solutions of Mordell’s equation. A complete discussion of the case $D = 0$ is also included.

Klíčová slova anglicky

cubic polynomial, discriminant, Mordell's equation

Vydáno

15.12.2021

Místo

Česká republika

ISSN

1805-3610

Ročník

10

Číslo

2

Strany od–do

103–113

Počet stran

11

BIBTEX


@article{BUT176795,
  author="Jiří {Klaška},
  title="On cubic polynomials with a given discriminant",
  year="2021",
  volume="10",
  number="2",
  month="December",
  pages="103--113",
  address="Česká republika",
  issn="1805-3610"
}