Probabilities for absolute irreducibility of multivariate polynomials by the polytope method


Koyuncu F., ÖZBUDAK F.

TURKISH JOURNAL OF MATHEMATICS, cilt.35, ss.367-373, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 35 Konu: 3
  • Basım Tarihi: 2011
  • Doi Numarası: 10.3906/mat-0906-101
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.367-373

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.