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This article is cited in 1 scientific paper (total 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
DOI:
https://doi.org/10.4213/mzm3554
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English version:
Mathematical Notes, 2007, 81:2, 247–259
Bibliographic databases:
    
UDC:
517.53 Received: 11.07.2006
Citation:
I. P. Rochev, “On a Generalization of Pólya's Theorem”, Mat. Zametki, 81:2 (2007), 280–293; Math. Notes, 81:2 (2007), 247–259
Citation in format AMSBIB
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http://mi.mathnet.ru/eng/mz3554https://doi.org/10.4213/mzm3554 http://mi.mathnet.ru/eng/mz/v81/i2/p280
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This publication is cited in the following articles:
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I. P. Rochev, “A generalization of Gelfond's and Waldschmidt's theorems on integer-valued entire functions”, Sb. Math., 202:8 (2011), 1207–1229
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