On the Smarandache LCM dual function
نویسنده
چکیده
Received March 13, 2007 Abstract For any positive integer n, the Smarandache LCM dual function SL∗(n) is defined as the greatest positive integer k such that [1, 2, · · · , k] divides n. The main purpose of this paper is using the elementary method to study the calculating problem of a Dirichlet series involving the Smarandache LCM dual function SL∗(n) and the mean value distribution property of SL∗(n), obtain an exact calculating formula and a sharper asymptotic formula for it.
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