Probabilities for absolute irreducibility of multivariate polynomials by the polytope method

ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

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 Z[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.

Anahtar Kelimeler:

Absolute irreducibility, polytopes, multivariate polynomials

Probabilities for absolute irreducibility of multivariate polynomials by the polytope method

Keywords:

Absolute irreducibility, polytopes, multivariate polynomials,

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Fatih KOYUNCU Received: 29.06.2009
Department of Mathematics Muğla University , Muğla—TURKEY e—mail: fatih©mu.edu.tr Ferruh ÖZBUDAK Department of Mathematics and Institute of Applied Mathematics Middle East Technical University İnönü Bulvarı, 06531, Ankara-TURKEY e-mail: ozbudak©metu.edu.tr