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arxiv: 0808.2766 · v2 · submitted 2008-08-20 · 🧮 math.NT

Algebraic Values of Transcendental Functions at Algebraic Points

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keywords algebraictranscendentalauthorsentireexceptionalfunctionfunctionsfurthermore
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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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