A characterization of finite sets that tile the integers

Details A characterization of finite sets that tile the integers A characterization of finite sets that tile the integers

2001-09-19

arxiv.org/abs/math/0109127v1

Mathematics

Number Theory

17 pages

Scientific paper

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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