Probabilities for absolute irreducibility of multivariate polynomials by the polytope method
TURKISH JOURNAL OF MATHEMATICS, vol.35, no.3, pp.367-373, 2011 (SCI-Expanded, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 35 Issue: 3
- Publication Date: 2011
- Doi Number: 10.3906/mat-0906-101
- Journal Name: TURKISH JOURNAL OF MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.367-373
- Middle East Technical University Affiliated: Yes
Abstract
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.