{
  "id": "1109.3229",
  "version": "v4",
  "published": "2011-09-15T00:04:05.000Z",
  "updated": "2014-10-17T16:02:56.000Z",
  "title": "Metrical Diophantine approximation for quaternions",
  "authors": [
    "Maurice Dodson",
    "Brent Everitt"
  ],
  "comment": "30 pages. Some minor improvements",
  "categories": [
    "math.NT"
  ],
  "abstract": "Analogues of the classical theorems of Khintchine, Jarnik and Jarnik-Besicovitch in the metrical theory of Diophantine approximation are established for quaternions by applying results on the measure of general `lim sup' sets.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-07-16T23:57:19.000Z",
      "comment": "26 pages. Some improvements to version 2",
      "journal": null,
      "doi": null
    },
    {
      "version": "v4",
      "updated": "2014-10-17T16:02:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "metrical diophantine approximation",
      "quaternions",
      "lim sup",
      "classical theorems",
      "khintchine"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1017/S0305004114000462",
      "journal": "Mathematical Proceedings of the Cambridge Philosophical Society",
      "year": 2014,
      "month": "Nov",
      "volume": 157,
      "number": 3,
      "pages": 513
    },
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014MPCPS.157..513D"
    }
  }
}