{
  "id": "0711.3513",
  "version": "v1",
  "published": "2007-11-22T07:10:22.000Z",
  "updated": "2007-11-22T07:10:22.000Z",
  "title": "Galois groups of the Lie-irreducible generalized $q$-hypergeometric equations of order three with $q$-real parameters : an approach using a density theorem",
  "authors": [
    "Julien Roques"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "In this paper we compute the difference Galois groups of the Lie-irreducible regular singular generalized q-hypergeometric equations of order 3 with q-real parameters by using a density theorem due to Sauloy. In contrast with the differential case, we show that these groups automatically contain the special linear group SL(3,C).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-11-22T07:10:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "galois groups",
      "density theorem",
      "real parameters",
      "regular singular generalized q-hypergeometric",
      "singular generalized q-hypergeometric equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0711.3513R"
    }
  }
}