{
  "id": "math/0409508",
  "version": "v1",
  "published": "2004-09-27T07:52:18.000Z",
  "updated": "2004-09-27T07:52:18.000Z",
  "title": "Apparent Singularities of Linear Difference Equations with Polynomial Coefficients",
  "authors": [
    "S. A. Abramov",
    "M. A. Barkatou",
    "M. van Hoeij"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "Let L be a linear difference operator with polynomial coefficients. We consider singularities of L that correspond to roots of the trailing (resp. leading) coefficient of L. We prove that one can effectively construct a left multiple with polynomial coefficients L' of L such that every singularity of L' is a singularity of L that is not apparent. As a consequence, if all singularities of L are apparent, then L has a left multiple whose trailing and leading coefficients equal 1.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-09-27T07:52:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "linear difference equations",
      "polynomial coefficients",
      "apparent singularities",
      "singularity",
      "left multiple"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......9508A"
    }
  }
}