A note on characterizing completely multiplicative functions using generalized Möbius functions

DOI10.1216/RMJ-2012-42-4-1197zbMath1273.11009MaRDI QIDQ691274

Pentti Haukkanen, Varanasi Sitaramaiah

Publication date: 30 November 2012

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1348752082

zbMATH Keywords

distributivitymultiplicative functionsDirichlet convolutiongeneralized Möbius functioncompletely multiplicative functionsRearick's logarithmic operator

Mathematics Subject Classification ID

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

Cites Work

• A note on some characterizations of arithmetic functions
• Transformation of arithmetic functions
• Logarithmic operators and characterizations of completely multiplicative functions
• Characterizing completely multiplicative functions by generalized Möbius functions
• Completely multiplicative functions arising from simple operations
• Operators on algebras of arithmetic functions
• The trigonometry of numbers
• Ramanujan sums via generalized Möbius functions and applications
• On the binomial convolution of arithmetical functions
• Core Function Based Characterizations Of Number Theoretic Functions
• A Characterization of Completely Multiplicative Arithmetic Functions
• Arithmetical Functions and Distributivity
• Some Properties of Completely Multiplicative Arithmetical Functions
• Distributivity over the Dirichlet Product and Completely Multiplicative Arithmetical Functions
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