Study Of Higher Order Divisor Sums Of Mixed Power

In this paper,we study the asymptotic formula of higher order divisor sums with mixed power variables(?)With k＞2,h＞2 and,k,h∈Z~+,d_h is the divisor function of order h.This paper mainly uses the circle method to estimate the mean value of the divisor function,and obtains the relevant asymptotic formulas by selecting appropriate parameters.