On trinomials having irreducible quadratic factors (Q484572)
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scientific article; zbMATH DE number 6384185
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On trinomials having irreducible quadratic factors |
scientific article; zbMATH DE number 6384185 |
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On trinomials having irreducible quadratic factors (English)
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7 January 2015
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Let \(f(X)=X^n-BX + A \in\mathbb Z[X]\), where \(AB\neq 0\). Using Baker's method the authors prove that if \(n > 40000\) and \(f(X)\) has an irreducible quadratic factor in \({\mathbb Z}[X]\), then \(| B| \leq | A| ^{3/2}\) and \(| A| \leq | B| ^{3/2}\).
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trinomial
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irreducible quadratic factors
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bound for coefficients
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