- Turkish Journal of Mathematics
- Vol: 35 Issue: 3
- Probabilities for absolute irreducibility of multivariate polynomials by the polytope method
Probabilities for absolute irreducibility of multivariate polynomials by the polytope method
Authors : Fatih Koyuncu
Pages : 367-377
View : 7 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
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.Keywords : Absolute irreducibility, polytopes, multivariate polynomials