The incongruence of consecutive values of polynomials (Q1383506)
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scientific article; zbMATH DE number 1144291
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The incongruence of consecutive values of polynomials |
scientific article; zbMATH DE number 1144291 |
Statements
The incongruence of consecutive values of polynomials (English)
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26 April 1998
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Suppose that \(f(x)\in \mathbb{Z}[x]\), \(k,n\in\mathbb{N}\) and let \[ D_f(n)= \min\bigl\{k>0: f(1),f(2), \dots, f(n)\text{ are pairwise incongruent modulo } k\bigr\}. \] The author provides a subset of \(\mathbb{Z}[x]\) that characterizes \(D_f(n)\) for sufficiently large \(n\).
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incongruence of consecutive values of polynomials
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integral polynomial
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