On the mean value of the Smarandache LCM function SL(n)
نویسنده
چکیده
For any positive integer n, let SL(n) denotes the least positive integer k such that L(k) ≡ 0 (mod n), where L(k) denotes the Least Common Multiple of all integers from 1 to k. The main purpose of this paper is to study the properties of the Smarandache LCM function SL(n), and give an asymptotic formula for its mean value.
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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