| 关于Smarandache素数可加补数列 |
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| 引用本文： | 郭艳春,路玉麟.关于Smarandache素数可加补数列[J].纺织高校基础科学学报,2008,21(1):128-130. |
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| 作者姓名： | 郭艳春 路玉麟 |
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| 作者单位： | 1. 西北大学,数学系,陕西,西安,710069;咸阳师范学院,数学系,陕西,西安,712000
2. 西北大学,数学系,陕西,西安,710069;渭南师范学院,数学系,陕西,西安,714000 |
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| 摘 要： | 研究著名的Smarandache素数可加补函数SPAC（n）的均值1/n∑a=1^n SPAC（a）的敛散性,利用初等及解析方法，给出了均值1/n∑a=1^n SPAC（a）一个较强的下界估计,证明均值1/n∑a=1^n SPAC（a）是发散的，从而解决了由数论专家Kenichiro Kashihara提出的一个关于函数SPAC（n）的猜想．
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| 关 键 词： | F.Smarandache素数可加补函数 均值 敛散性 |
| 文章编号： | 1006-8341(2008)01-0128-03 |
| 修稿时间： | 2007年10月20 |
On the sequence of Smarandache prime addictive complement |
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| GUO Yan-chun,LU Yu-lin.On the sequence of Smarandache prime addictive complement[J].Basic Sciences Journal of Textile Universities,2008,21(1):128-130. |
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| Authors: | GUO Yan-chun LU Yu-lin |
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| Affiliation: | GUO Yan-chun ,LU Yu-lin( 1. Department of Mathematics, Northwest University, Xi＇ an 710069, China; 2. Department of Mathematics,Xianyang Teacher＇s College,Xianyang,Shaanxi 712000,China; 3. Department of Mathematics, Weinan Teacher＇s University, Weinan,Shaanxi 714000, China) |
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| Abstract: | The divergent property of the mean value 1/n sum from a=1 to n SPAC(a) of the famous Smarandache prime addictive complement function SPAC(n) was studied.Using the elementary and the analytic methods,a sharper lower bound estimate for the mean value 1/nsum from a=1 to n SPAC(a) was given.It is proved that the mean value 1/nsum from a=1 to n SPAC(a) is divergent.This solved a conjecture proposed by Kenichiro Kashihara. |
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| Keywords: | F Smarandache prime addictive complement function mean value divergence |
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