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Combinatorial Aspects of the Generalized Euler's Totient

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  • Nittiya Pabhapote
  • Vichian Laohakosol

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.

Suggested Citation

  • Nittiya Pabhapote & Vichian Laohakosol, 2010. "Combinatorial Aspects of the Generalized Euler's Totient," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2010, pages 1-15, September.
    • Handle: RePEc:hin:jijmms:648165
    DOI: 10.1155/2010/648165
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