Characterizing completely multiplicative functions  by
generalized Möbius functions

Vichian  Laohakosol; Nittiya  Pabhapote; Nalinee  Wechwiriyakul

doi:10.1155/S0161171202012498

International Journal of Mathematics and Mathematical Sciences (Jan 2002)

Characterizing completely multiplicative functions by generalized Möbius functions

Vichian Laohakosol,
Nittiya Pabhapote,
Nalinee Wechwiriyakul

Affiliations

Vichian Laohakosol: Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok 10900, Thailand
Nittiya Pabhapote: Department of Mathematics, Faculty of Science, The University of the Thai Chamber of Commerce, Bangkok 10400, Thailand
Nalinee Wechwiriyakul: Department of Mathematics, Faculty of Science, The University of the Thai Chamber of Commerce, Bangkok 10400, Thailand

DOI: https://doi.org/10.1155/S0161171202012498
Journal volume & issue: Vol. 29, no. 11
pp. 633 – 639

Abstract

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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.

Published in International Journal of Mathematics and Mathematical Sciences

ISSN: 0161-1712 (Print); 1687-0425 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/6396

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