On the Behavior of Power Series with Completely Additive Coefficients

DOI10.4064/BA8018-1-2016zbMath1391.11135OpenAlexW2491137774MaRDI QIDQ2787106

Oleg A. Petrushov

Publication date: 24 February 2016

Published in: Bulletin Polish Acad. Sci. Math. (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ba8018-1-2016

zbMATH Keywords

power seriesboundary behavioradditive functionsgrowth conditionsarithmetic functionsomega estimates

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Boundary behavior of power series in one complex variable; over-convergence (30B30)

Related Items (1)

On the behavior of power series with positive completely multiplicative coefficients

Cites Work

• Power series with multiplicative coefficients
• Polylogarithms and arithmetic function spaces
• On the behaviour close to the unit circle of the power series with Möbius function coefficients
• On the behavior close to the unit circle of the power series whose coefficients are squared Möbius function values

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