General Mathematics

    

Four Problems Related to the Pseudo-Smarandache-Squarefree Function

Authors: Wenji Guan

For any positive integer n, the Pseudo-Smarandache-Squarefree function Zw(n)is de¯ned as the smallest positive integer m such that mn is divisible by n. That is,Zw(n) = min fm : m 2 N; n j mng. In reference [2], Felice Russo proposed many problems and conjectures related to the Pseudo-Smarandache-Squarefree function Zw(n). The main purpose of this paper is using the elementary methods to study several problems in [2], and four of them are solved.

Comments: 3 Pages.

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Submission history

[v1] 2014-03-14 06:46:29

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