On the Mean Value of a New Arithmetical Function

Ming Jun Wang

doi:10.4028/www.scientific.net/AMM.155-156.396

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 155-156On the Mean Value of a New Arithmetical Function

On the Mean Value of a New Arithmetical Function

Abstract:

To study one of the problems that Romania number theorist F. Smarandache has proposed and to generalize it. For any positive integer let denotes the natural sequence where each number is repeated times. Based on the general term formula, the asymptotic properties of this sequence and some hybrid functions are studied using the elementary method, the asymptotic formulae are obtained ,thus enriching the study and application of this sequence.

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Periodical:

Applied Mechanics and Materials (Volumes 155-156)

Pages:

396-400

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.155-156.396

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Online since:

February 2012

Authors:

Ming Jun Wang

Keywords:

Asymptotic Formula, Hybrid Function, Mean Value

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References

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