Concordant sequences and integral-valued entire functions
Volume 88 / 1999
Acta Arithmetica 88 (1999), 239-268
DOI: 10.4064/aa-88-3-239-268
Abstract
A classic theorem of Pólya shows that the function $2^z$ is the "smallest" integral-valued entire transcendental function. A variant due to Gel'fond applies to entire functions taking integral values on a geometric progression of integers, and Bézivin has given a generalization of both results. We give a sharp formulation of Bézivin's result together with a further generalization.
