| 一个算术函数和它的混合均值(英文) |
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| 引用本文： | 朱敏慧. 一个算术函数和它的混合均值(英文)[J]. 科学技术与工程, 2009, 9(11) |
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| 作者姓名： | 朱敏慧 |
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| 作者单位： | 西安工程大学理学院,西安,710048 |
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| 摘 要： | 用初等的方法研究了算术函数k3(n)和Mangoldt 函数的混合均值,并且得到了两个有趣的渐近公式.
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| 关 键 词： | 三阶乘数 混合均值 近公式 |
Aairhmetical Function and Its Hybrid Mean Value |
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| ZHU Min-hui. Aairhmetical Function and Its Hybrid Mean Value[J]. Science Technology and Engineering, 2009, 9(11) |
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| Authors: | ZHU Min-hui |
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| Affiliation: | School of Science;Xi'an Polytechnic University;Xian 710048;P.R.China |
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| Abstract: | For any positive integer n,let k3(n) be the smallest integer such that nk3(n) is the triple factorial number.The hybrid mean value of k3(n)and the Mangoldt function is studied with elementary method,and two interesting asymptotic formulas are obtained. |
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| Keywords: | triple factorial number hybrid mean value asymptotic formula |
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