This article is cited in 1 paper

On a Generalization of Pólya's Theorem

I. P. Rochev

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: We consider generalizations of Pólya's theorem to the case of entire functions taking algebraic values at natural or integer points.

Keywords: Pólya's theorem on entire functions, entire function, algebraic number, maximum principle, Stirling's formula.

UDC: 517.53

Received: 11.07.2006

DOI: 10.4213/mzm3554

 English version: Mathematical Notes, 2007, 81:2, 247–259

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