{
  "id": "0809.3937",
  "version": "v1",
  "published": "2008-09-23T15:09:43.000Z",
  "updated": "2008-09-23T15:09:43.000Z",
  "title": "Inhomogeneous Diophantine approximation on curves and Hausdorff dimension",
  "authors": [
    "Dzmitry Badziahin"
  ],
  "comment": "28 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "The goal of this paper is to develop a coherent theory for inhomogeneous Diophantine approximation on curves in $R^n$ akin to the well established homogeneous theory. More specifically, the measure theoretic results obtained generalize the fundamental homogeneous theorems of R.C. Baker (1978), Dodson, Dickinson (2000) and Beresnevich, Bernik, Kleinbock, Margulis (2002). In the case of planar curves, the complete Hausdorff dimension theory is developed",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-09-23T15:09:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J83",
      "11J13"
    ],
    "keywords": [
      "inhomogeneous diophantine approximation",
      "complete hausdorff dimension theory",
      "measure theoretic results",
      "planar curves",
      "fundamental homogeneous theorems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.3937B"
    }
  }
}