Published November 17, 2009 | Version v1

On the Smarandache function and the divisor product sequences

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Let n be any positive integer, Pd(n) denotes the product of all positive divisors
of n. The main purpose of this paper is using the elementary and analytic methods to study the mean value properties of a new arithmetical function S (Pd(n)), and give an interesting asymptotic formula for it.

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