Jun Furuya

On the $k$-free divisor problem

Let $Δ^{(k)}(x)$ denote the error term of the $k$-free divisor problem for $k\geq 2$. In this paper we establish an asymptotic formula of the integral $\int_1^T|Δ^{(k)}(x)|^2dx$ for each $k\geq 4.$