Jing-Jing Huang, Diego Marques, Martı́n Mereb
Abstract
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In this paper, the authors will prove that any subset of $\overline{\QQ}$ can be the exceptional set of some transcendental entire function. Furthermore, we could generalize this theorem to a much more general version and present a unified proof.
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In this paper, the authors will prove that any subset of $\overline{\QQ}$ can be the exceptional set of some transcendental entire function. Furthermore, we could generalize this theorem to a much more general version and present a unified proof.
Key concepts: Transcendental number, Transcendental function, Algebraic number, Algebraic function, Mathematics, Set (abstract data type), Function (biology), Algebraic extension