| 关于正整数的k次根序列 |
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| 引用本文： | 王明军.关于正整数的k次根序列[J].渭南师范学院学报,2012(2):31-32. |
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| 作者姓名： | 王明军 |
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| 作者单位： | 渭南师范学院数学与信息科学学院,陕西渭南,714000 |
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| 基金项目： | 陕西省教育厅科研资助项目(11JK0478) |
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| 摘 要： | 设n是正整数,bk(n)表示n的k次根部分.利用初等和解析方法研究了级数sum from ∞ to n=1 1/(a3s(n))(n)和sum from ∞ to n=1 1/(bks(n))的收敛性以及sum from to n=≤x a3k(n)和sum from to n=≤x bkt(n)的均值性质,并给出渐近公式.
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| 关 键 词： | k次根序列 均值 渐近公式 |
On the k-th Power Roots of Positive Integer |
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| WANG Ming-jun.On the k-th Power Roots of Positive Integer[J].Journal of Weinan Teachers College,2012(2):31-32. |
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| Authors: | WANG Ming-jun |
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| Institution: | WANG Ming-jun (School of Mathematics and Information Science,Weinan Normal University,Weinan 714000,China) |
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| Abstract: | For any positive integer n,let bk(n)denotes the k-th power root of n.The main purpose of this paper is to use the analytic and elementary methods to study the properties of the sequences {bk(n)},the convergent property are studied and two asymptotic formulas are obtained. |
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| Keywords: | k-th power roots mean value asymptotic formula |
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