{
  "id": "math/0109127",
  "version": "v1",
  "published": "2001-09-19T01:15:17.000Z",
  "updated": "2001-09-19T01:15:17.000Z",
  "title": "A characterization of finite sets that tile the integers",
  "authors": [
    "Andrew Granville",
    "Izabella Laba",
    "Yang Wang"
  ],
  "comment": "17 pages",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-09-19T01:15:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "characterization",
      "distinct prime factors",
      "three-prime cases",
      "first time",
      "characterizing finite sets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......9127G"
    }
  }
}