We derive asymptotics for the scaling of the total diffraction intensity for the set of k-free integers near the origin, which is a measure for the degree of patch fluctuations.
"Scaling of the Diffraction Measure of k-Free Integers Near the Origin." Michigan Math. J. 70 (1) 213 - 221, March 2021. https://doi.org/10.1307/mmj/1592877613