{
  "id": "1606.04986",
  "version": "v1",
  "published": "2016-06-15T21:22:25.000Z",
  "updated": "2016-06-15T21:22:25.000Z",
  "title": "Power Series with Coefficients from a Finite Set",
  "authors": [
    "Jason P. Bell",
    "Shaoshi Chen"
  ],
  "comment": "11 pages",
  "categories": [
    "math.CO",
    "math.AC"
  ],
  "abstract": "We prove in this paper that a multivariate D-finite power series with coefficients from a finite set is rational. This generalizes a rationality theorem of van der Poorten and Shparlinski in 1996.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-15T21:22:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13F25",
      "05A15"
    ],
    "keywords": [
      "finite set",
      "coefficients",
      "multivariate d-finite power series",
      "van der poorten",
      "rationality theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}