Characterizing completely multiplicative functions by generalized Möbius functions
type: Item
instance of: scholarly article
title: Characterizing completely multiplicative functions by generalized Möbius functions
zbMATH Open document ID: 1010.11005
DOI: 10.1155/S0161171202012498
author: Vichian Laohakosol
author: N. Pabhapote
author: Nalinee Wechwiriyakul
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2002-08-13T00:00:00Z
full work available at URL: https://eudml.org/doc/49931
full work available at URL: S0161171202012498.html
review text: The conditions \((\mu_\alpha f)^{-1}=\mu_{-\alpha} f\) and \(f^\alpha=\mu_{-\alpha} f\) are studied as characterizations of completely multiplicative functions, where \(\mu_\alpha\) is the generalized Möbius function introduced by \textit{L. C. Hsu} [Fibonacci Q. 33, 169-173 (1995; Zbl 0822.11005)].
reviewed by: Pentti Haukkanen
Mathematics Subject Classification ID: 11A25
zbMATH DE Number: 1780383
zbMATH Keywords: characterization
zbMATH Keywords: completely multiplicative function
zbMATH Keywords: Möbius function
zbMATH Keywords: logarithmic operator
zbMATH Keywords: binomial coefficient
MaRDI profile type: Publication
OpenAlex ID: W2122877459
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description: scientific article; zbMATH DE number 1780383