On the F.Smarandache function and its mean value.

Scientia Magna | June 1, 2007| | Copyright

Abstract For any positive integer n, the famous F.Smarandache function S(n) is defined as the smallest positive integer m such that n | m!. That is, S(n) = min{m : n | m!, n [member of] N}. The main purpose of this paper is using the elementary methods to study a mean value problem involving the F.Smarandache function, and give a sharper asymptotic formula for it.

Keywords F.Smarandache function, mean value, asymptotic formula.

[section] 1. Introduction and result

For any positive integer n, the famous F.Smarandache function S(n) is defined as the ...

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