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Abstract In this paper, we study a question proposed by Marques and Moreira about transcendental entire functions mapping Q into itself. In particular, we prove that there is no a… Click to show full abstract
Abstract In this paper, we study a question proposed by Marques and Moreira about transcendental entire functions mapping Q into itself. In particular, we prove that there is no a transcendental entire function f such that f ( Q ) ⊆ Q and the denominator of f ( p / q ) is O ( q ) , for all rational number p / q , with q sufficiently large.
Keywords:
functions mapping;
transcendental entire;
entire functions
Journal Title: Journal of Number Theory
Year Published: 2020
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Journal Title: Journal of Number Theory
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!