Combinatorial Aspects of the Generalized Euler's Totient

Nittiya Pabhapote and Vichian Laohakosol

International Journal of Mathematics and Mathematical Sciences, 2010, vol. 2010, 1-15

Abstract:

A generalized Euler's totient is defined as a Dirichlet convolution of a power function and a product of the Souriau-Hsu-Möbius function with a completely multiplicative function. Two combinatorial aspects of the generalized Euler's totient, namely, its connections to other totients and its relations with counting formulae, are investigated.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:648165

DOI: 10.1155/2010/648165

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