{
  "id": "math/0406065",
  "version": "v1",
  "published": "2004-06-03T14:33:39.000Z",
  "updated": "2004-06-03T14:33:39.000Z",
  "title": "Exponents of inhomogeneous Diophantine Approximation",
  "authors": [
    "Yann Bugeaud",
    "Michel Laurent"
  ],
  "comment": "18 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In Diophantine approximation, inhomogeneous problems are linked with homogeneous ones by means of the so-called Transference Theorems. We revisit this classical topic by introducing new exponents of Diophantine approximation. We prove that the exponent of approximation to a generic point in R^n by a system of n linear forms is equal to the inverse of the uniform homogeneous exponent associated to the system of dual forms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-06-03T14:33:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J20",
      "11J13",
      "11J82"
    ],
    "keywords": [
      "inhomogeneous diophantine approximation",
      "dual forms",
      "uniform homogeneous exponent",
      "transference theorems",
      "linear forms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......6065B"
    }
  }
}