On the F.Smarandache LCM function and its mean value
نویسندگان
چکیده
For any positive integer n, the famous F.Smarandache LCM function SL(n) is defined as 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 ln SL(n), and give a sharper asymptotic formula for it.
منابع مشابه
On the mean value of the Smarandache LCM function
For any positive integer n, the F.Smarandache LCM function SL(n) is defined as 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 P (n)SL(n) and p(n)SL(n), and give two sharper asymptotic formulas for them.
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