Abstract
Abstract For any positive integer n, the Smarandache reciprocal function Sc(n) is defined as the largest positive integer m such that y | n! for all integers 1 ≤ y ≤ m, and m + 1 † n!. The main purpose of this paper is using the elementary and analytic methods to study the mean value distribution properties of Sc(n), and give two interesting mean value formulas for it.
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