| 关于r次可加补数的一些复合函数的均值性质 |
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| 引用本文： | 金晶,朱伟义.关于r次可加补数的一些复合函数的均值性质[J].浙江师范大学学报(自然科学版),2011(4). |
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| 作者姓名： | 金晶 朱伟义 |
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| 作者单位： | 浙江师范大学数理与信息工程学院; |
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| 基金项目： | 国家自然科学基金资助项目(10872183) |
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| 摘 要： | 运用初等方法,研究了关于正整数n的r次可加补数函数ar(n)与一些数论函数的复合函数的均值问题,给出了相应函数均值估计的渐近公式.
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| 关 键 词： | r次可加补数 数论函数 均值 渐近公式 |
Research on the mean value of some composite functions about the r-th power additive complement |
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| JIN Jing,ZHU Weiyi.Research on the mean value of some composite functions about the r-th power additive complement[J].Journal of Zhejiang Normal University Natural Sciences,2011(4). |
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| Authors: | JIN Jing ZHU Weiyi |
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| Institution: | JIN Jing,ZHU Weiyi(College of Mathematics,Physics and Information Engineering,Zhejiang Normal University,Jinhua Zhejiang 321004,China) |
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| Abstract: | By using the elementary method to research some composite functions about the r-th power additive complement function ar(n) and some arithmetical functions,the corresponding interesting asymptotic formulas about the mean value were presented. |
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| Keywords: | the r-th power additive complement arithmetical function mean value asymptotic formula |
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