A characterization of finite sets that tile the integers
Number Theory
2007-05-23 v1 Combinatorics
Abstract
We consider the problem of characterizing finite sets which tile the integers by translations. Coven and Meyerowitz (J. Algebra 1999) found necessary and sufficient conditions for a finite set A to tile the integers under the assumption that |A| has at most 2 distinct prime factors. The purpose of this article is to settle, for the first time, certain three-prime cases.
Cite
@article{arxiv.math/0109127,
title = {A characterization of finite sets that tile the integers},
author = {Andrew Granville and Izabella Laba and Yang Wang},
journal= {arXiv preprint arXiv:math/0109127},
year = {2007}
}
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17 pages