{
  "id": "1607.01530",
  "version": "v1",
  "published": "2016-07-06T09:20:15.000Z",
  "updated": "2016-07-06T09:20:15.000Z",
  "title": "Markoff Surfaces and Strong Approximation: 1",
  "authors": [
    "Jean Bourgain",
    "Alexander Gamburd",
    "Peter Sarnak"
  ],
  "comment": "This is the first of three papers giving detailed proofs of the results announced in [BGS16]",
  "categories": [
    "math.NT",
    "math.GR"
  ],
  "abstract": "We prove results pertaining to strong approximation for Markoff triples in the case of prime moduli.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-06T09:20:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "strong approximation",
      "markoff surfaces",
      "markoff triples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}