Smarandache对偶函数次幂的均值 |
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引用本文: | 李梵蓓. Smarandache对偶函数次幂的均值[J]. 内蒙古财经学院学报(综合版), 2013, 0(5): 134-136 |
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作者姓名: | 李梵蓓 |
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作者单位: | 内蒙古财经大学统计与数学学院,内蒙古呼和浩特010070 |
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摘 要: | 对于任意的正整数n,Smarandache对偶函数定义为最大的正整数m使得m!|n,即S* (n) =max{m:m!|n,m∈N}.本文的主要目的是利用初等的方法研究Smarandache对偶函数k次幂的均值性质,并且给出一个较强的渐近公式.
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关 键 词: | Smarandache对偶函数 初等方法 渐近公式 |
On the K-th Mean Value of Smarandache Dual Function |
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Affiliation: | LI Fan - bei (Inner Mongolia University of Finance and Economics, Hohhot 010070, China) |
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Abstract: | For any positive integer, the Smarandache dual function is defined as the greatest positive integer m! | n. That is S * ( n ) = max { m : m | I n, m ∈ N }. The main purpose of this paper is using the elementary method to study the k - th mean value of Smarandache dual function, and give an asymptotic formula for it. |
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Keywords: | Smarandache dual function elementary method asymptotic formula |
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