An Equation Involving the Smarandache Function

Bin Chen

doi:10.4028/www.scientific.net/AMM.204-208.4785

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 204-208An Equation Involving the Smarandache Function

An Equation Involving the Smarandache Function

Abstract:

For any Positive Integer N, LetΦ(n)andS(n)Denote the Euler Function and the Smarandache Function of the Integer N.In this Paper, we Use the Elementary Number Theory Methods to Get the Solutions of the Equation Φ(n)=S(n^k) if the K=9, and Give its All Positive Integer Solutions.

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Periodical:

Applied Mechanics and Materials (Volumes 204-208)

Pages:

4785-4788

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.204-208.4785

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Online since:

October 2012

Authors:

Bin Chen*

Keywords:

Euler Function, Smarandache Function, Solutions of the Equation

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* - Corresponding Author

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