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Probabilities for absolute irreducibility of multivariate polynomials by the polytope method
Date
2011-01-01
Author
Koyuncu, Fatih
Özbudak, Ferruh
Metadata
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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
Journal
TURKISH JOURNAL OF MATHEMATICS
DOI
https://doi.org/10.3906/mat-0906-101
Collections
Department of Mathematics, Article