Algebraic numbers of the form \(P(T)^{Q(T)}\) with \(T\) transcendental. (English) Zbl 1231.11077
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 \({\mathbb C}\).
Reviewer: Florin Nicolae (Berlin)
References:
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