The main purpose of this paper is to study the mean value properties of thesecond Smarandache pseudo-odd number sequence and pseudo-even number sequence, andgive some interesting asymptotic formula for them.
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/π~2x+0[(1/2)lg^2x];sun from n≤x n∈x(d^2(n))=6/π~2xln^3x+Axln^2x+Bxlnx+Clnx+O[x^(ε+)...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/π~2x+0[(1/2)lg^2x];sun from n≤x n∈x(d^2(n))=6/π~2xln^3x+Axln^2x+Bxlnx+Clnx+O[x^(ε+)ln5/ln10]展开更多
文摘The main purpose of this paper is to study the mean value properties of thesecond Smarandache pseudo-odd number sequence and pseudo-even number sequence, andgive some interesting asymptotic formula for them.
文摘对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/π~2x+0[(1/2)lg^2x];sun from n≤x n∈x(d^2(n))=6/π~2xln^3x+Axln^2x+Bxlnx+Clnx+O[x^(ε+)ln5/ln10]
