{
  "id": "1304.5165",
  "version": "v2",
  "published": "2013-04-18T15:42:42.000Z",
  "updated": "2015-06-05T13:07:47.000Z",
  "title": "The Hasse principle for systems of diagonal cubic forms",
  "authors": [
    "Joerg Bruedern",
    "Trevor D. Wooley"
  ],
  "comment": "18pp; Section 2 revised to address referee comments",
  "categories": [
    "math.NT"
  ],
  "abstract": "We establish the Hasse Principle for systems of r simultaneous diagonal cubic equations whenever the number of variables exceeds 6r and the associated coefficient matrix contains no singular r x r submatrix, thereby achieving the theoretical limit of the circle method for such systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-18T15:42:42.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-06-05T13:07:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D72",
      "11P55",
      "11E76"
    ],
    "keywords": [
      "diagonal cubic forms",
      "hasse principle",
      "associated coefficient matrix contains",
      "simultaneous diagonal cubic equations",
      "variables exceeds 6r"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.5165B"
    }
  }
}