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On the pseudo Smarandache square-free function

2008
unpublished

For any positive integer n, the famous Pseudo Smarandache Square-free function Zw(n) is defined as the smallest positive integer m such that m n is divisible by n. That is, Zw(n) = min{m : n|m n , m ∈ N }, where N denotes the set of all positive integers. The main purpose of this paper is using the elementary method to study the properties of Zw(n), and give an inequality for it. At the same time, we also study the solvability of an equation involving the Pseudo Smarandache Square-free

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