Probabilities for absolute irreducibility of multivariate polynomials by the polytope method

Koyuncu F., ÖZBUDAK F.

TURKISH JOURNAL OF MATHEMATICS, cilt.35, sa.3, ss.367-373, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 3
  • Basım Tarihi: 2011
  • Doi Numarası: 10.3906/mat-0906-101
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.367-373
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.