{
  "id": "1603.04246",
  "version": "v1",
  "published": "2016-03-14T13:00:35.000Z",
  "updated": "2016-03-14T13:00:35.000Z",
  "title": "The sphere packing problem in dimension 8",
  "authors": [
    "Maryna Viazovska"
  ],
  "comment": "22 pages, 2 figures",
  "categories": [
    "math.NT",
    "math.MG"
  ],
  "abstract": "In this paper we prove that no packing of unit balls in Euclidean space $\\mathbb{R}^8$ has density greater than that of the $E_8$-lattice packing.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-14T13:00:35.000Z"
    }
  ],
  "resources": [
    {
      "type": "posts",
      "source": "Quanta Magazine",
      "title": "Sphere Packing Solved in Higher Dimensions",
      "href": "https://www.quantamagazine.org/20160330-sphere-packing-solved-in-higher-dimensions/",
      "status": "public"
    }
  ],
  "analyses": {
    "subjects": [
      "52C17",
      "11F03",
      "11F30"
    ],
    "keywords": [
      "sphere packing problem",
      "lattice packing"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}