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Probabilistic absolute irreducibility test for polynomials

✍ Scribed by Jean-François Ragot


Book ID
108357946
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
177 KB
Volume
172
Category
Article
ISSN
0022-4049

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Absolute Irreducibility of Polynomials v
✍ Shuhong Gao 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 139 KB

A multivariable polynomial is associated with a polytope, called its Newton polytope. A polynomial is absolutely irreducible if its Newton polytope is indecomposable in the sense of Minkowski sum of polytopes. Two general constructions of indecomposable polytopes are given, and they give many simple