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A characterization of finite sets that tile the integers

Andrew Granville·Izabella Laba·Yang Wang
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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.

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Andrew Granville, Izabella Laba, Yang Wang. 2001-09-19. A characterization of finite sets that tile the integers. https://arxiv.org/abs/math/0109127

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