On the behavior of a power series with completely multiplicative coefficients near the unit circle

DOI10.1134/S0001434618050127zbMath1397.30003OpenAlexW2810522501MaRDI QIDQ1668074

Oleg A. Petrushov

Publication date: 31 August 2018

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

Full work available at URL: https://doi.org/10.1134/s0001434618050127

zbMATH Keywords

Laplace transformDirichlet seriescompletely multiplicative function\(\Omega\)-estimates

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Dirichlet series, exponential series and other series in one complex variable (30B50) Analytic continuation of functions of one complex variable (30B40)

Cites Work

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• Asymptotic estimates of functions based on the behavior of their Laplace transforms near singular points
• Transcendence of power series for some number theoretic functions
• On the behaviour close to the unit circle of the power series with Möbius function coefficients
• On oscillations of number-theoretic functions

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