| 一个包含Smarandache函数与伪Smarandache函数的方程及其正整数解 |
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| 引用本文： | 李玲,姚维利.一个包含Smarandache函数与伪Smarandache函数的方程及其正整数解[J].四川师范大学学报(自然科学版),2010,33(2). |
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| 作者姓名： | 李玲 姚维利 |
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| 作者单位： | 1. 陕西工业职业技术学院,基础部,陕西,咸阳,712000
2. 上海大学,理学院,上海,200444 |
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| 基金项目： | 国家自然科学基金(10671155)\;陕西省教育厅专项科研基金，上海市优秀青年教师专项科研基金 |
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| 摘 要： | 利用初等及组合方法研究了一个包含Smarandache函数及伪Smarandache函数方程的可解性,证明了该方程有无穷多个正整数解,并给出了该方程所有正整数解的具体形式.
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| 关 键 词： | Smarandache函数 伪Smarandache函数 函数方程 正整数解 |
An Equation Involving Both Smarandache and Pseudo Smarandache Functions and Its Positive Integer Solutions |
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| LI Ling,YAO Wei-li.An Equation Involving Both Smarandache and Pseudo Smarandache Functions and Its Positive Integer Solutions[J].Journal of Sichuan Normal University(Natural Science),2010,33(2). |
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| Authors: | LI Ling YAO Wei-li |
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| Institution: | LI Ling1,YAO Wei-li2(1.Department of Basic Courses,Shaanxi Polytechnic Institute,Xianyang 712000,Shaanxi,2.College of Science,Shanghai University,Shanghai 200444) |
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| Abstract: | The main purpose of this paper is to study the solvability of an equation involving both the Smarandache and the pseudo Smarandache functions by using the elementary and combinational methods,and prove that the equation has infinite positive integer solutions.Moreover,the exact form of all positive integer solutions are given for the equation. |
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| Keywords: | the Smarandache function the pseudo Smarandache function function equation positive integer solution |
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