{
  "id": "2001.04635",
  "version": "v1",
  "published": "2020-01-14T06:01:16.000Z",
  "updated": "2020-01-14T06:01:16.000Z",
  "title": "On the sum of squares of middle-third Cantor set",
  "authors": [
    "Zhiqiang Wang",
    "Kan Jiang",
    "Wenxia Li",
    "Bing Zhao"
  ],
  "categories": [
    "math.DS",
    "math.NT"
  ],
  "abstract": "Let $C$ be the middle-third Cantor set. In this paper, we show that for every $x\\in [0,4]$, there exist $x_1, x_2, x_3, x_4 \\in C$ such that $$x= x_1^2+x_2^2+x_3^2+x_4^2,$$ which answers a question posed by Athreya, Reznick,and Tyson.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-14T06:01:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "middle-third cantor set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}