{
  "id": "0803.2355",
  "version": "v1",
  "published": "2008-03-16T14:55:12.000Z",
  "updated": "2008-03-16T14:55:12.000Z",
  "title": "A note on zero-one laws in metrical Diophantine approximation",
  "authors": [
    "Victor Beresnevich",
    "Sanju Velani"
  ],
  "comment": "12 pages, Dedicated to Wolfgang Schmidt on the occasion of his 75th birthday",
  "journal": "Acta Arith. 133.4 (2008), 363-374.",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper we discuss a general problem on metrical Diophantine approximation associated with a system of linear forms. The main result is a zero-one law that extends one-dimensional results of Cassels and Gallagher. The paper contains a discussion on possible generalisations including a selection of various open problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-16T14:55:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J83"
    ],
    "keywords": [
      "metrical diophantine approximation",
      "zero-one law",
      "extends one-dimensional results",
      "open problems",
      "linear forms"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.4064/aa133-4-5",
      "journal": "Acta Arithmetica",
      "year": 2008,
      "volume": 133,
      "number": 4,
      "pages": 363
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008AcAri.133..363B"
    }
  }
}