{
  "id": "1205.0416",
  "version": "v2",
  "published": "2012-05-02T13:12:32.000Z",
  "updated": "2014-11-03T13:10:15.000Z",
  "title": "Diophantine approximation with restricted numerators and denominators on semisimple groups",
  "authors": [
    "Alexander Gorodnik",
    "Shirali Kadyrov"
  ],
  "categories": [
    "math.DS",
    "math.NT"
  ],
  "abstract": "We consider the problem of Diophantine approximation on semisimple algebraic groups by rational points with restricted numerators and denominators and establish a quantitative approximation result for all real points in the group by rational points with any prescribed denominator and an almost prime numerator.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-05-02T13:12:32.000Z",
      "abstract": "We consider the problem of Diophantine approximation on semisimple algebraic groups by rational points with restricted numera- tors and denominators and establish a quantitative approximation result for all real points in the group by rational points with any prescribed denominator and an almost prime numerator.",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-11-03T13:10:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "diophantine approximation",
      "semisimple groups",
      "restricted numerators",
      "rational points",
      "semisimple algebraic groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.0416G"
    }
  }
}