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Turkish Journal of Mathematics

DOI

10.3906/mat-0906-101

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

First Page

367

Last Page

377

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