Geodesic
Concordant sequences and integral-valued entire functions
Acta Arithmetica, Tome 88 (1999) no. 3, pp. 239-268.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/aa-88-3-239-268

Jonathan Pila 1 ; Fernando Rodriguez Villegas 1

1 
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Jonathan Pila; Fernando Rodriguez Villegas. Concordant sequences and integral-valued entire functions. Acta Arithmetica, Tome 88 (1999) no. 3, pp. 239-268. doi : 10.4064/aa-88-3-239-268. http://geodesic.mathdoc.fr/articles/10.4064/aa-88-3-239-268/

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