Sums of higher divisors of positive definite integral quadratic forms

Let [Formula: see text] denote the kth divisor function and [Formula: see text], [Formula: see text] be a general positive definite integral quadratic form. In this paper, we study the asymptotic formula of the sum [Formula: see text] with the box [Formula: see text] and [Formula: see text] is an integer. Previously only the diagonal case is studied.