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Applications of integral points on elliptic curves in theory of cubic and quartic polynomials
In the following review, we introduce readers to some interesting results that have been achieved in theory of cubic and qurtic polynomials with a given discrimination....
Pure mathematics
- 2025 •
- Jost •
- Link
Rok uplatnění
Jost - Ostatní články v recenzovaných periodicích
Výsledek na webu
Law of inertia for the factorization of cubic polynomials - the case of discriminants divisible by three
In this paper we extend our recent results concerning the validity of the law of inertia for the factorization of cubic polynomials over the Galois field F_p, p being a prime....
BA - Obecná matematika
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Decompositions of polynomials without real roots.
The problem of decomposition of a polynomial of degree 4 without real roots to the product of two quadratic factors is discussed in connection with the method of Cardan for solving cubic equations....
BA - Obecná matematika
- 2001 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On distribution of zeros of a cubic polynomial
The paper deals with location of zeros of a cubic polynomial with general real coefficients. There are derived effective and optimal (i.e. necessary and sufficient) conditions on the coefficients of this polynomial, which e...
BA - Obecná matematika
- 2015 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On the factorization of cubic polynomials with the same discriminant modulo a prime
Let Din Z and let C_D be the set of all monic cubic polynomilals 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 C_D ha...
Pure mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Mordell's equation and the Tribonacci family
By means of the whole number solutions of certain Mordell's equation we find an explicit form of all cubic polynomials with the given discriminant....
BA - Obecná matematika
- 2011 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
The Full Systems of Canonical Representatives of Cubic Polynomials with a Given Discriminant
Let us denote C(D) the set of all monic cubic polynomials with integer coefficients having discriminant D. Based on the method presented and computer calculation, I have determined the set C(D) for all $Din mathbb Z$, where $0le D ...
Pure mathematics
- 2023 •
- B
Rok uplatnění
B - Odborná kniha
Law of inertia for the factorization of cubic polynomials - the real case
Let D be an integer and let C_D be the set of all monic cubic polynomials x^3 + ax^2 + bx + c with integral coefficients and with the discriminant equal to D. Assume that D<0, D is square-free and 3 does not divide the class numb...
Pure mathematics
- 2017 •
- Jimp
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Graphic TSP in cubic graphs
We present a polynomial-time 9/7-approximation algorithm for the graphic TSP for cubic graphs, which improves the previously best approximation factor of 1.3 for 2-connected cubic graphs and drops the requirement of 2-conne...
Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
- 2017 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
An Algorithm for Cyclic Edge Connectivity of Cubic Graphs
We present a practical polynomial-time algorithm for computing cyclic edge-connectivity of cubic graphs.
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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