Probabilities for absolute irreducibility of multivariate polynomials by the polytope method

Date

2011-01-01

Author

Koyuncu, Fatih
Özbudak, Ferruh

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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.

Subject Keywords

Absolute irreducibility, Polytopes, Multivariate polynomials

URI

https://hdl.handle.net/11511/38175

Collections

Department of Mathematics, Article