Turkish Journal of Mathematics
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.
DOI
10.3906/mat-0906-101
Keywords
Absolute irreducibility, polytopes, multivariate polynomials
First Page
367
Last Page
377
Recommended Citation
KOYUNCU, FATİH and ÖZBUDAK, FERRUH
(2011)
"Probabilities for absolute irreducibility of multivariate polynomials by the polytope method,"
Turkish Journal of Mathematics: Vol. 35:
No.
3, Article 2.
https://doi.org/10.3906/mat-0906-101
Available at:
https://journals.tubitak.gov.tr/math/vol35/iss3/2
