{
  "id": "0710.4778",
  "version": "v1",
  "published": "2007-10-25T10:34:09.000Z",
  "updated": "2007-10-25T10:34:09.000Z",
  "title": "The Hasse principle for pairs of diagonal cubic forms",
  "authors": [
    "J. Bruedern",
    "T. D. Wooley"
  ],
  "comment": "Accepted to appear in Annals of Mathematics, 9th September 2005",
  "journal": "Ann. of Math. (2) 166 (2007), no. 3, 865-895",
  "doi": "10.4007/annals.2007.166.865",
  "categories": [
    "math.NT"
  ],
  "abstract": "By means of the Hardy-Littlewood method, we apply a new mean value theorem for exponential sums to confirm the truth, over the rational numbers, of the Hasse principle for pairs of diagonal cubic forms in thirteen or more variables.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-25T10:34:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D72",
      "11L07",
      "11E76",
      "11P55"
    ],
    "keywords": [
      "diagonal cubic forms",
      "hasse principle",
      "mean value theorem",
      "hardy-littlewood method",
      "exponential sums"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Princeton University and the Institute for Advanced Study",
      "journal": "Ann. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.4778B"
    }
  }
}