Moments of the Smarandache Functio~
نویسنده
چکیده
Given a positive integer n, let P(n) denote the largest prime factor of nand S(n) denote the smallest integer m such that n divides m! This paper extends earlier work [1] on the average value of the Smarandache function S(n) and is based on a recent asymptotic result [2]: (W J I{n ~ N:P(n) < S(n)}j = 01 • I ~ln(N)J for any positive integer j due to Ford. We first prove: Theorem 1.
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تاریخ انتشار 2014