Asymptotic expansion of certain power series with multiplicative coefficients near the unit circle

DOI10.1134/S0001434617010345zbMath1366.30002OpenAlexW2592572381MaRDI QIDQ2396424

Oleg A. Petrushov

Publication date: 8 June 2017

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

Full work available at URL: https://doi.org/10.1134/s0001434617010345

zbMATH Keywords

asymptoticspower seriesmultiplicative functionsum of divisorsclassical arithmetic function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Power series (including lacunary series) in one complex variable (30B10) Dirichlet series, exponential series and other series in one complex variable (30B50)

Cites Work

• Mellin transforms and asymptotics: Harmonic sums
• Irrationality of power series for various number theoretic functions
• On the behaviour close to the unit circle of the power series with Möbius function coefficients
• Asymptotic estimates for some number-theoretic power series
• On oscillations of number-theoretic functions
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