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, F, & ÖZBUDAK, F (2011). Probabilities for absolute irreducibility of multivariate polynomials by the polytope method. Turkish Journal of Mathematics 35 (3): 367-377. https://doi.org/10.3906/mat-0906-101
