| 关于Smarandache-Type可乘函数的均值 |
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| 引用本文： | 王明军.关于Smarandache-Type可乘函数的均值[J].甘肃科学学报,2011,23(4):9-11. |
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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系,陕西 渭南,714000 |
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| 基金项目： | 陕西省教育厅科研基金项目(2010JK540) |
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| 摘 要： | 研究了Smarandache-Type可乘函数Fm(n)与Gm(n)在无m次幂因子数集上的均值分布性质,利用解析方法及欧拉乘积公式得到了2个渐近公式,从而推广了关于Smarandache-Type可乘函数的算术性质.
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| 关 键 词： | Smarandache-Type可乘函数 无m次幂因子数 渐近公式 |
Mean Value of the Smarandache-Type Multiplicative Functions |
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| WANG Ming-jun.Mean Value of the Smarandache-Type Multiplicative Functions[J].Journal of Gansu Sciences,2011,23(4):9-11. |
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| Authors: | WANG Ming-jun |
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| Institution: | WANG Ming-jun (Department of Mathematics and Information Science,Weinan Teachers' College,Weinan 714000,China) |
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| Abstract: | The main purpose of this paper is to study the distributive properties of Smarandache-Type functions Fm(n) and Gm(n) on the m-power numbers,and two asymptotic formulae are obtained by using the analytic method and Euler product formula.Hence,the properties of Smarandache-Type functions are generalized. |
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| Keywords: | Smarandache-Type multiplicative function m-th power free number asymptotic formula |
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