On cubic polynomials with a given discriminant

dc.contributor.authorKlaška, Jiří
dc.coverage.issue2cs
dc.coverage.volume10cs
dc.date.accessioned2022-02-21T12:10:30Z
dc.date.available2022-02-21T12:10:30Z
dc.date.issued2021cs
dc.description.abstractLet D ∈ Z and let CD 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 CD. Our method is closely related to integer solutions of Mordell’s equation. A complete discussion of the case D = 0 is also included.en
dc.formattextcs
dc.format.extent103-113cs
dc.format.mimetypeapplication/pdfen
dc.identifier.citationMathematics for Applications. 2021 vol. 10, č. 2, s. 103-113. ISSN 1805-3629cs
dc.identifier.doi10.13164/ma.2021.09en
dc.identifier.issn1805-3629
dc.identifier.urihttp://hdl.handle.net/11012/203929
dc.language.isoencs
dc.publisherVysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematikycs
dc.relation.ispartofMathematics for Applicationsen
dc.relation.urihttp://ma.fme.vutbr.cz/archiv/10_2/ma_10_2_klaska_final.pdfcs
dc.rights© Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematikycs
dc.rights.accessopenAccessen
dc.subjectcubic polynomial
dc.subjectdiscriminant
dc.subjectMordell’s equation
dc.titleOn cubic polynomials with a given discriminanten
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
eprints.affiliatedInstitution.departmentÚstav matematikycs
eprints.affiliatedInstitution.facultyFakulta strojního inženýrstvícs
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