| 一类加性函数的倒数和 |
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| 引用本文： | 翟文广.一类加性函数的倒数和[J].数学学报,1999,42(3):529-536. |
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| 作者姓名： | 翟文广 |
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| 作者单位： | 山东师范大学数学系,济南,250014 |
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| 摘 要： | 设ｇ（ｎ）＞０为任一实值函数，加性函数Ｇ（ｎ）定义为Ｇ（１）＝０，Ｇ（ｎ）＋ｋ≥１为一固定正整数。本文研究了和式∑２≤ｎ≤ｘ ，并得到了渐近公式。
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| 关 键 词： | 加性函数，除数函数，函数，渐近公式，逼近论 |
On Reciprocal Sums of a Class of Additive Functions |
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| Zhai Wenguang.On Reciprocal Sums of a Class of Additive Functions[J].Acta Mathematica Sinica,1999,42(3):529-536. |
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| Authors: | Zhai Wenguang |
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| Institution: | Zhai Wenguang(Department of
Mothematics, Shandong Normal University, Jinan 250014, P.R. China) |
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| Abstract: | Suppose g(n) > 0
is any real-valued function, the additive function G(n) isdefined by G(1) = 0, G(n) = is a fixed integer
constant.The sum is studied and an asymptotic formula is obtained. |
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| Keywords: | Additive function Divisor function function Asymptotic formula Theapproximation theory |
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