On a theorem of Pólya on entire functions with real Taylor coefficients

DOI10.1007/BF02674898zbMath0868.30002OpenAlexW2081005237MaRDI QIDQ1360849

A. M. Gaisin

Publication date: 22 July 1997

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02674898

zbMATH Keywords

entire functionDirichlet seriesupper densitylower densityfinite \(R\)-order

Mathematics Subject Classification ID

Dirichlet series, exponential series and other series in one complex variable (30B50) Representations of entire functions of one complex variable by series and integrals (30D10) Special classes of entire functions of one complex variable and growth estimates (30D15)

Cites Work

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• Behavior of the sum of a Dirichlet series having a prescribed growth
• Crossed group rings in which solutions of the equation \(x^ n-\mu =0\) are trivial
• Entire functions with real Taylor coefficients

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