On cubic polynomials with a given discriminant
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2021
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Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky
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Abstract
Let 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.
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Mathematics for Applications. 2021 vol. 10, č. 2, s. 103-113. ISSN 1805-3629
http://ma.fme.vutbr.cz/archiv/10_2/ma_10_2_klaska_final.pdf
http://ma.fme.vutbr.cz/archiv/10_2/ma_10_2_klaska_final.pdf
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en
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© Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky