| 一类包含Smarandache和函数的Ditichlet级数 |
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| 引用本文： | 陈姣.一类包含Smarandache和函数的Ditichlet级数[J].西南师范大学学报(自然科学版),2011,36(1). |
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| 作者姓名： | 陈姣 |
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| 作者单位： | 西北大学数学系,西安,710127 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 对任意正整数n及给定的正整数k>1,利用高斯取整函数的性质及初等方法研究Smarandache和函数AS(n,k)的算术性质以及一类包含AS(n,k)的Dirichlet级数的计算问题.并对某些特殊的正整数k>1,给出了该级数的一个具体的计算公式.
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| 关 键 词： | Smarandache和函数 Dirichlet级数 初等方法 计算公式 |
One Kind Dirichlet Series Involving the Smarandache Summands Function |
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| CHEN Jiao.One Kind Dirichlet Series Involving the Smarandache Summands Function[J].Journal of Southwest China Normal University(Natural Science),2011,36(1). |
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| Authors: | CHEN Jiao |
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| Institution: | CHEN Jiao Department of Mathematics,Northwest University,Xi'an 710127,China |
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| Abstract: | For any positive integer n and any fixed integer k>1,M.Bencze defined the Smarandache Summands functions AS(n,k).Then he asked us to study the arithmetical properties of this function.The main purpose of this paper is using the properties of the Gauss function and the elementary method to study the calculating problem of one kind Dirichlet series involving the function AS(n,k),and gives some exactly calculating formulas for some special positive integer k. |
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| Keywords: | Smarandache summands function Dirichlet series elementary method calculating formula |
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