On sums of sums involving the Liouville function

Let λ denote the Liouville function, and let $(n,q)$ be the greatest common divisor of positive integers n and q. For any positive real numbers x and y, in this paper, we shall derive asymptotic formulas for the sums ∑n≤ y(∑q≤ x∑d|(n,q)dλ(q/d))ᵏ in the case $k=1, 2.$