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

In: Mathematica Slovaca, vol. 68, no. 5
Jiří Klaška - Ladislav Skula

Details:

Year, pages: 2018, 987 - 1000
Keywords:
cubic polynomial, type of factorization, discriminant
About article:
Let $D\in \Bbb{Z}$ and let $CD$ be the set of all monic cubic polynomials 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 $CD$ have the same type of factorization over the Galois field $\Bbb{F}p$.
How to cite:
ISO 690:
Klaška, J., Skula, L. 2018. On the factorizations of cubic polynomials with the same discriminant modulo a prime. In Mathematica Slovaca, vol. 68, no.5, pp. 987-1000. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0161

APA:
Klaška, J., Skula, L. (2018). On the factorizations of cubic polynomials with the same discriminant modulo a prime. Mathematica Slovaca, 68(5), 987-1000. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0161
About edition:
Published: 31. 10. 2018