| Smarandache kn数列与除数和函数的混合均值 |
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| 引用本文： | 苟素. Smarandache kn数列与除数和函数的混合均值[J]. 西安石油大学学报(自然科学版), 2011, 26(2): 107-110,123 |
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| 作者姓名： | 苟素 |
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| 作者单位： | 西安邮电学院理学院,陕西,西安,710121 |
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| 基金项目： | 国家自然科学基金资助项目，陕西省教育厅资助项目 |
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| 摘 要： | 对任意整数1≤k≤9,如果数列{a(k,n)}中的每一个数都可以分成两部分,使得第二部分是第一部分的k倍,则该数列称作Smarandache kn数字数列.利用初等及组合方法研究Smaran-dache kn数字数列及除数和函数的混合均值性质,并给出一个有趣的渐近公式.
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| 关 键 词： | Smarandache kn数字数列 除数和函数 混合均值 渐近公式 |
Hybrid mean value of Smarandache kn -digital series with divisor sum function |
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| GOU Su. Hybrid mean value of Smarandache kn -digital series with divisor sum function[J]. Journal of Xian Shiyou University, 2011, 26(2): 107-110,123 |
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| Authors: | GOU Su |
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| Affiliation: | GOU Su(School of Sciences,Xi'an University of Posts and Communications,Xi'an 710121,Shaanxi,China) |
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| Abstract: | For any positive integer k(1≤ k≤9),if the digits of {a(k,n)} can be divided into two parts,and the second part is k times of the first part,the digital series {a(k,n)} is called to Smarandache kn-digital series.The properties of the hybrid mean value of Smarandache kn-digital series with divisor sum function are studied using elementary and combinational methods,and two interesting asymptotic formulae for it are presented. |
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| Keywords: | Smarandache kn-digital series divisor sum function hybrid mean value asymptotic formula |
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