Core Function Based Characterizations Of Number Theoretic Functions

Original Articles

Core Function Based Characterizations Of Number Theoretic Functions

Published in: Quaestiones Mathematicae
Volume 27 , issue 2 , 2004 , pages: 185–194
DOI: 10.2989/16073600409486093
Author(s): Temba Shonhiwa
Keywords: CORE FUNCTION , MULTIPLICATIVE , COMPLETELY MULTIPLICATIVE
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Abstract

The paper briefly studies the core function: γ(n) = πω i-1 pi, n > 1, γ(1) = 1, where n = πω i=1 p i ci and then provides characterizations of number theoretic functions based on convolutions involving this function.
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