A characterization of finite sets that tile the integers

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62222We 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 pagesNumber TheoryCombinatoricsA characterization of finite sets that tile the integerstext