Characterizing completely multiplicative functions by generalized Möbius functions

Using the generalized Möbius functions, μα, first introduced by Hsu (1995), two characterizations of completely multiplicative functions are given; save a minor condition they read (μαf)−1=μ−αf and fα=μ−αf.

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Bibliographic Details
Main Authors: Vichian Laohakosol, Nittiya Pabhapote, Nalinee Wechwiriyakul
Format: Article
Language:English
Published: Wiley 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171202012498
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