Algebraic numbers of the form \(P(T)^{Q(T)}\) with \(T\) transcendental (Q974764)
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scientific article; zbMATH DE number 5717770
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Algebraic numbers of the form \(P(T)^{Q(T)}\) with \(T\) transcendental |
scientific article; zbMATH DE number 5717770 |
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Algebraic numbers of the form \(P(T)^{Q(T)}\) with \(T\) transcendental (English)
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7 June 2010
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Let \(P(x),Q(x)\in{\mathbb Q}[x]\) be non-constant polynomials. The author proves that the set of algebraic numbers of the form \(P(T)^{Q(T)}\), with \(T\) transcendental is dense in some connected subset either of \({\mathbb R}\) or \({\mathbb C}\).
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exponential function
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transcendence
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