| On the Solutions of an Equation Involving the Smarandache Power Function SP（n） |
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| 引用本文： | 潘晓玮.On the Solutions of an Equation Involving the Smarandache Power Function SP（n）[J].数学季刊,2008,23(3). |
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| 作者姓名： | 潘晓玮 |
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| 作者单位： | [1]Department of Common Course, Xi＇an Medical University, Xi＇an 710021, China [2]Department of Mathematics, Northwest University, Xi＇an 710069, China |
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| 摘 要： |
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| 关 键 词： | Smarandache幂函数 SP（z） 方程 整数解 |
On the Solutions of an Equation Involving the Smarandache Power Function SP(n) |
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| PAN Xiao-wei.On the Solutions of an Equation Involving the Smarandache Power Function SP(n)[J].Chinese Quarterly Journal of Mathematics,2008,23(3). |
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| Authors: | PAN Xiao-wei |
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| Abstract: | 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. |
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| Keywords: | Smarandache power function equation positive integer solutions |
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