Abstract
For any positive integer n, the famous F.Smarandache function S(n) is deflned as the smallest positive integer m such that n j m!. That is, S(n) = minfm : n j m!; n 2 Ng. 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.
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