一個(gè)包含Smarandache冪函數(shù)SP(n)的方程及其整數(shù)解

For any positive integer n,the famous Smarandache power function SP(n) is defined as the smallest positive integer m such that n|mm,where m and n have the same prime divisors.The main purpose of this paper is using the elementary methods to study the positive integer solutions of an equation involving the Smarandache power function SP(n) and obtain some interesting results.At the same time,we give an open problem about the related equation.

作 者： 潘曉瑋 PAN Xiao-wei   作者單位： Department of Common Course,Xi'an Medical University,Xi'an 710021,China;Department of Mathematics,Northwest University,Xi'an 710069,China  刊 名： 數(shù)學(xué)季刊（英文版）  ISTIC PKU 英文刊名： CHINESE QUARTERLY JOURNAL OF MATHEMATICS  年，卷(期)： 2008 23(3)  分類號(hào)： O156.4  關(guān)鍵詞： Smarandache power function   equation   positive integer solutions  

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