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关于Smarandache伪奇数序列与数论函数的两个渐进公式
On Two Asymptotic Formulas About Smarandache Psrudo-odd Sequence and Number Theory Funtions
【摘要】 对Smarandache伪奇数序列与数论函数的均值进行研究,利用初等的、解析的方法得出两个比较有意义的渐进公式:sun from n∈x n≤x(φ(x)/n)=6/π2x+0[(1/2)lg2x];sun from n≤x n∈x(d2(n))=6/π2xln3x+Axln2x+Bxlnx+Clnx+O[xε+ln5/ln10]
【Abstract】 This section mainly stadys the mean value of Smarandache psrudo-odd sequence by using the elementary and analytic methods.Two interesting asymptotic formulas are obtained:(1)sun from n∈x n≤x(φ(x)/n)=6/π2x+0[(1/2)lg2x];sun from n≤x n∈x(d2(n))=6/π2xln3x+Axln2x+Bxlnx+Clnx+O[xε+ln5/ln10]
【关键词】 Smarandache伪奇数序列;
数论函数;
渐近公式;
【Key words】 Smarandache pseudo-odd sequanc munber theory function asymptotic formulas;
【Key words】 Smarandache pseudo-odd sequanc munber theory function asymptotic formulas;
- 【文献出处】 科学技术与工程 ,Science Technology and Engineering , 编辑部邮箱 ,2011年04期
- 【分类号】O156.4
- 【被引频次】1
- 【下载频次】71