This article is cited in 4 papers

A generalization of Gelfond's and Waldschmidt's theorems on integer-valued entire functions

I. P. Rochev

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

Abstract: Several generalizations of Gelfond's and Waldschmidt's theorems are obtained, which generalize in their turn Pólya's well-known result on integer-valued entire functions.
Bibliography: 19 titles.

Keywords: entire function, integer-valued function, finite extension, Newton interpolation series.

UDC: 517.53+511

MSC: 10F35, 30D20

Received: 22.06.2010 and 02.12.2010

DOI: 10.4213/sm7761

 English version: Sbornik: Mathematics, 2011, 202:8, 1207–1229

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