English

Algebraic Values of Transcendental Functions at Algebraic Points

Number Theory 2008-08-22 v2

Abstract

In this paper, the authors will prove that any subset of \QQ\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.

Keywords

Cite

@article{arxiv.0808.2766,
  title  = {Algebraic Values of Transcendental Functions at Algebraic Points},
  author = {Jingjing Huang and Diego Marques and Martin Mereb},
  journal= {arXiv preprint arXiv:0808.2766},
  year   = {2008}
}
R2 v1 2026-06-21T11:12:21.150Z