Reducibility of cubic polynomials \(\text{mod } p\) (Q1912312)
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scientific article; zbMATH DE number 874239
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reducibility of cubic polynomials \(\text{mod } p\) |
scientific article; zbMATH DE number 874239 |
Statements
Reducibility of cubic polynomials \(\text{mod } p\) (English)
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11 March 1997
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We quote the author's words: ``It is shown that an absolutely irreducible homogeneous cubic polynomial \(f\in \mathbb{Z} [x_0, x_1,x_2]\) is also absolutely irreducible \(\text{mod } p\) if \(p>1248\) \({\mathcal H}^6\) where \({\mathcal H}\) is the height of \(f\). Modulo a general number theoretic conjecture an example shows that the result is best possible''.
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irreducibility
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homogeneous cubic polynomial
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0.8733442425727844
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0.8334457278251648
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0.8323895335197449
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0.8167728185653687
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0.8163947463035583
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