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arXiv · 1112.1629

Entropy and diffraction of the $k$-free points in $n$-dimensional lattices

Peter A. B. Pleasants·Christian Huck
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Abstract

We consider the $k$th-power-free points in $n$-dimensional lattices and explicitly calculate their entropies and diffraction spectra. This is of particular interest since these sets have holes of unbounded inradius.

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Peter A. B. Pleasants, Christian Huck. 2013-06-13. Entropy and diffraction of the $k$-free points in $n$-dimensional lattices. https://doi.org/10.1007/s00454-013-9516-y

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