Polynomials and perfect powers (Q1293393)
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scientific article; zbMATH DE number 1309724
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Polynomials and perfect powers |
scientific article; zbMATH DE number 1309724 |
Statements
Polynomials and perfect powers (English)
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5 November 1999
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The following question -- let \(P\in \mathbb{Z} [X]\) and \(k\geq 2\) be a fixed integer, if the set \(E=\{n\in \mathbb{Z}\) \(P(n)=y^k \;\text{for some }y\in \mathbb{Z}\)
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arithmetical properties of values of polynomials
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powers
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integer polynomial
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several variable polynomials
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not \(k\)-thin set of integers
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