Irreducibility and specialization of polynomials (Q942857)
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scientific article; zbMATH DE number 5322354
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Irreducibility and specialization of polynomials |
scientific article; zbMATH DE number 5322354 |
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Irreducibility and specialization of polynomials (English)
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8 September 2008
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Summary: Starting from the decomposition in base \(b(X)\) (a nonconstant polynomial), we give an irreducibility criterion of the bivariate polynomials. Moreover we study a problem of specialization which has a link with Hilbert's irreducibility theorem.
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\(b\)-basis decomposition
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irreducible polynomial
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Hilbertian set
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Hilbertian field
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Hilbert irreducibility theorem
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