数论函数的分式和

Fractional Sum of Arithmetic Function

利用Goswami方法讨论一类数论函数与取整函数复合的均值问题,并给出∑fn≤xf[x/n]/[x/n]≤(x→∞)的渐近公式.

By using Goswami’s method,we discussed the mean value problem of the composition of a class o f arithmetic functions and the integral part function,and gave an asymptotic formula for∑fn≤xf[x/n]/[x/n]≤(x→∞).