A characterization of finite sets that tile the integers

Granville, Andrew; Laba, Izabella; Wang, Yang

A characterization of finite sets that tile the integers

Authors

Granville, Andrew

Laba, Izabella

Wang, Yang

Description

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.
17 pages