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Logarithmic operators and characterizations of completely multiplicative functions

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Publication:1597747
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DOI10.1007/s10012-001-0273-0zbMath0994.11003OpenAlexW2011879628MaRDI QIDQ1597747

Vichian Laohakosol, Nalinee Wechwiriyakul, Nittiya Pabhapote

Publication date: 30 May 2002

Published in: Southeast Asian Bulletin of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10012-001-0273-0


zbMATH Keywords

characterizationDirichlet seriescompletely multiplicative functionMangoldt functionlogarithmic operator


Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25)


Related Items

Independence measures of arithmetic functions ⋮ Distributive property of completely multiplicative functions ⋮ Combinatorial aspects of the generalized Euler's totient ⋮ Derivation of arithmetical functions under the Dirichlet convolution ⋮ A note on characterizing completely multiplicative functions using generalized Möbius functions ⋮ A correspondence between the isobaric ring and multiplicative arithmetic functions



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