Probabilities for absolute irreducibility of multivariate polynomials by the polytope method | Zendy

Fatih Koyuncu | Zendy; Ferruh Özbudak | Zendy

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Probabilities for absolute irreducibility of multivariate polynomials by the polytope method

Author(s) -

Fatih Koyuncu,

Ferruh Özbudak

Publication year - 2011

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-0906-101

Subject(s) - mathematics , irreducibility , polytope , combinatorics , difference polynomials , classical orthogonal polynomials , discrete orthogonal polynomials , wilson polynomials , orthogonal polynomials , macdonald polynomials , discrete mathematics , pure mathematics

Motivated by the Dubickas’s result in [1], which computes the probability of the irreducible polynomials by Eisenstein’s criterion for some families of polynomials in [x], we calculate the probabilities which represent the ratio of absolutely irreducible multivariate polynomials by the polytope method in some families of polynomials over arbitrary fields.

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