International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2002 / Article

Open Access

Volume 29 |Article ID 568784 | https://doi.org/10.1155/S0161171202012498

Vichian Laohakosol, Nittiya Pabhapote, Nalinee Wechwiriyakul, "Characterizing completely multiplicative functions by generalized Möbius functions", International Journal of Mathematics and Mathematical Sciences, vol. 29, Article ID 568784, 7 pages, 2002. https://doi.org/10.1155/S0161171202012498

Characterizing completely multiplicative functions by generalized Möbius functions

Received23 Mar 2001
Revised15 Aug 2001

Abstract

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=μαf and fα=μαf.

Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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