On the Mean Value of a New Arithmetical Function

被引:0
作者
Wang, Mingjun [1 ]
机构
[1] Weinan Teachers Univ, Dept Math & Informat Sci, Weinan 714000, Shannxi, Peoples R China
来源
MECHANICAL ENGINEERING AND GREEN MANUFACTURING II, PTS 1 AND 2 | 2012年 / 155-156卷
关键词
Hybrid function; Mean value; Asymptotic formula;
D O I
10.4028/www.scientific.net/AMM.155-156.396
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
To study one of the problems that Romania number theorist F. Smarandache has proposed and to generalize it. For any positive integer(n,) let(a(n)) denotes the natural sequence where each number (n) is repeated (n) times. Based on the general term formula, the asymptotic properties of this sequence and some hybrid functions are studied using the elementary method, the asymptotic formulae are obtained,thus enriching the study and application of this sequence.
引用
收藏
页码:396 / 400
页数:5
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