{
  "id": "math/0210349",
  "version": "v1",
  "published": "2002-10-22T17:32:17.000Z",
  "updated": "2002-10-22T17:32:17.000Z",
  "title": "Metric Diophantine approximation: The Khintchine--Groshev theorem for non-degenerate manifolds",
  "authors": [
    "V. Beresnevich",
    "V. Bernik",
    "D. Kleinbock",
    "G. A. Margulis"
  ],
  "comment": "LaTeX, 24 pages",
  "journal": "Moscow Math. J. 2, no. 2 (2002), 203--225",
  "categories": [
    "math.NT"
  ],
  "abstract": "The main objective of this paper is to prove a Khintchine type theorem for divergence for linear Diophantine approximation on non-degenerate manifolds, which completes earlier results for convergence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-10-22T17:32:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J83",
      "11K60"
    ],
    "keywords": [
      "metric diophantine approximation",
      "non-degenerate manifolds",
      "khintchine-groshev theorem",
      "completes earlier results",
      "khintchine type theorem"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....10349B"
    }
  }
}