Regular growth of Dirichlet series of the class D(Ф) on curves of bounded K-slope

DOI10.15393/J3.ART.2023.13830OpenAlexW4391623315MaRDI QIDQ6192985

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Publication date: 12 March 2024

Published in: Issues of Analysis (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/pa380

zbMATH Keywords

Dirichlet seriesasymptotic behavior on curves

Mathematics Subject Classification ID

Entire functions of one complex variable (general theory) (30D20) Dirichlet series, exponential series and other series in one complex variable (30B50)

Cites Work

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• Behavior of the sum of a Dirichlet series having a prescribed growth
• Growth on the real axis of an entire function represented by a Dirichlet series
• Stability criterion for maximal terms of Dirichlet series
• Asymptotic behavior of the sum of the Dirichlet series of prescribed growth on curves
• Noncomplete systems of exponentials on arcs and Carleman nonquasianalytic classes. II
• Properties of exponential series with sequence of exponents satisfying a Levinson-type condition
• Estimates of the growth and decrease on curves of an entire function of infinite order
• ON A CONJECTURE OF PÓLYA
• Interpolation sequences and nonspanning systems of exponentials on curves

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