{
  "id": "math/0508473",
  "version": "v1",
  "published": "2005-08-24T15:42:59.000Z",
  "updated": "2005-08-24T15:42:59.000Z",
  "title": "A Khintchine type theorem for hyperplanes",
  "authors": [
    "Anish Ghosh"
  ],
  "comment": "14 pages",
  "categories": [
    "math.NT",
    "math.DS"
  ],
  "abstract": "We prove that the convergence Khintchine theorem holds for affine hyperplanes whose parametrizing matrices satisfy a mild Diophantine condition. We use the dynamical method of Kleinbock-Margulis.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-08-24T15:42:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11K60",
      "37A17"
    ],
    "keywords": [
      "khintchine type theorem",
      "convergence khintchine theorem holds",
      "mild diophantine condition",
      "affine hyperplanes",
      "parametrizing matrices satisfy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......8473G"
    }
  }
}