Mean squares of quadratic twists of the Möbius function
arXiv:2212.09241 · doi:10.1016/j.jnt.2022.12.007
Abstract
In this paper, we evaluate asymptotically the sum \[ \sum_{d \leq X} \left( \sum_{n \leq Y} μ(n)\leg {8d}{n} \right)^2, \] where $\leg {8d}{n}$ is the Kronecker symbol and runs over positive, odd, square-free integers.
8 pages