Entropy and diffraction of the $k$-free points in $n$-dimensional lattices
Metric Geometry
2015-05-06 v3 Mathematical Physics
math.MP
Number Theory
Abstract
We consider the th-power-free points in -dimensional lattices and explicitly calculate their entropies and diffraction spectra. This is of particular interest since these sets have holes of unbounded inradius.
Cite
@article{arxiv.1112.1629,
title = {Entropy and diffraction of the $k$-free points in $n$-dimensional lattices},
author = {Peter A. B. Pleasants and Christian Huck},
journal= {arXiv preprint arXiv:1112.1629},
year = {2015}
}
Comments
27 pages, 2 figures; revised version with new references [7,8,23]; latest version with new Theorem 6 and updated reference [7]