{
  "id": "math/0405406",
  "version": "v1",
  "published": "2004-05-21T08:50:30.000Z",
  "updated": "2004-05-21T08:50:30.000Z",
  "title": "On one problem of Gowers",
  "authors": [
    "I. D. Shkredov"
  ],
  "comment": "39 pages, 1 figure",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let A \\subseteq [1,..,N]^2 be a set of density at least 1/(log log log N)^c, where c some constant c>0. We prove that A contains a so-called right-angle triangle, i.e. a triple of the form {(k,m), (k+d,m), (k,m+d)}, where d>0.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-05-21T08:50:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "log log log",
      "right-angle triangle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......5406S"
    }
  }
}