Mean value of F. Smarandache LCM function
نویسنده
چکیده
Abstract For any positive integer n, the famous Smarandache function S(n) defined as the smallest positive integer m such that n | m!. That is, S(n) = min{m : n | m!, n ∈ N}. The Smarandache LCM function SL(n) the smallest positive integer k such that n | [1, 2, · · · , k], where [1, 2, · · · , k] denotes the least common multiple of 1, 2, · · · , k. The main purpose of this paper is using the elementary methods to study the mean value properties of (SL(n)− S(n)),
منابع مشابه
On the Smarandache LCM dual function
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 o...
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