| 关于Smarandache函数LS（n）均值研究 |
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| 引用本文： | 黄炜,马焱.关于Smarandache函数LS（n）均值研究[J].延安大学学报(自然科学版),2012,31(1):19-21. |
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| 作者姓名： | 黄炜 马焱 |
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| 作者单位： | 1. 宝鸡职业技术学院基础部,陕西宝鸡,721013
2. 宝鸡文理学院经济管理系 |
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| 基金项目： | 国家自然科学基金项目(11071194);陕西省自然科学基金项目资助((09JK432) |
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| 摘 要： | 著名的Smarandache函数S（n）定义为：对于任意正整数n,存在最小的正整数m,使得n｜m,即：S（n）=min{m：n｜m,m∈N},本文利用初等及解析方法,研究了LS（n）的均值分布性质,否定了美籍数论专家F.Luca教授提出的一个猜想。
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| 关 键 词： | 函数LS（n） 分布性质 猜想 渐近公式 |
Research on the Mean Value of Smarandache Function LS(x) |
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| HUANG WEI,MA YAN.Research on the Mean Value of Smarandache Function LS(x)[J].Journal of Yan'an University(Natural Science Edition),2012,31(1):19-21. |
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| Authors: | HUANG WEI MA YAN |
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| Institution: | 1.Department of Basic,Baoji Vocational and Technical College; 2.Department of Economics and Management,Baoji University of Arts And Sciences,Baoji 721013,China) |
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| Abstract: | For any positive integer n,the Smarandache lnS(n) is defined as the smallest integer m such that n|m! That is S(n)=min(m:n|m!,m∈N}.The main purpose of this paper is to study the arithmetical properties of LS(n) by the elementary methods and analytic methods,and to be denied the guess which were proposed by Felice Russo in reference. |
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| Keywords: | Smarandache function distribution properties guess asymptotic formula |
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