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On cubic polynomials with a given discriminant

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F21%3APU143676" target="_blank" >RIV/00216305:26210/21:PU143676 - isvavai.cz</a>

  • Result on the web

    <a href="http://ma.fme.vutbr.cz" target="_blank" >http://ma.fme.vutbr.cz</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.13164/ma.2021.09" target="_blank" >10.13164/ma.2021.09</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On cubic polynomials with a given discriminant

  • Original language description

    Let $Din Bbb Z$ 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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2021

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Mathematics for applications

  • ISSN

    1805-3610

  • e-ISSN

  • Volume of the periodical

    10

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    11

  • Pages from-to

    103-113

  • UT code for WoS article

  • EID of the result in the Scopus database

    2-s2.0-85125037806