与Dedekind函数Ψ(n)倒数有关的误差项的新研究

New Research on an Error Term Related to theReciprocals of the Dedekind Totient Function Ψ(n)

Ψ (n)是Dedekind函数 ,以E(x)表示和式 ∑n xnΨ(n) 的渐近公式中的误差项 ,研究了E(x)

Let Ψ(n) be the Dedekind totient function, denoted by E(x) the error term in the asymptotic formula for the sum  nx  nΨ(n) , and a weighted mean square of E(x) is obtained.