{
  "id": "2104.09939",
  "version": "v1",
  "published": "2021-04-20T12:58:58.000Z",
  "updated": "2021-04-20T12:58:58.000Z",
  "title": "On the measure of products from the middle-third Cantor set",
  "authors": [
    "Luca Marchese"
  ],
  "comment": "12 pages",
  "categories": [
    "math.DS",
    "math.MG",
    "math.NT"
  ],
  "abstract": "We prove upper and lower bounds for the Lebesgue measure of the set of products $xy$ with $x$ and $y$ in the middle-third Cantor set. Our method is inspired by Athreya, Reznick and Tyson, but a different subdivision of the Cantor set provides a more rapidly converging approximation formula.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-20T12:58:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "middle-third cantor set",
      "lower bounds",
      "rapidly converging approximation formula",
      "lebesgue measure",
      "subdivision"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}