Mathematics (Oct 2020)
Algebraic Numbers of the form <i>α<sup>T</sup></i> with <i>α</i> Algebraic and <i>T</i> Transcendental
Abstract
Let α≠1 be a positive real number and let P(x) be a non-constant rational function with algebraic coefficients. In this paper, in particular, we prove that the set of algebraic numbers of the form αP(T), with T transcendental, is dense in some open interval of R.
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