{
  "id": "2004.05924",
  "version": "v1",
  "published": "2020-04-13T13:12:35.000Z",
  "updated": "2020-04-13T13:12:35.000Z",
  "title": "Fractal projections with an application in number theory",
  "authors": [
    "Han Yu"
  ],
  "comment": "13 pages",
  "categories": [
    "math.NT",
    "math.MG"
  ],
  "abstract": "In this paper, we discuss a connection between geometric measure theory and number theory. Among other results, we show that a problem posed by Graham on prime factors of binomial coefficients can be answered by considering a problem on projected images of fractal sets. From this point of view, we revisit a result obtained by Erd\\H{o}s, Graham, Ruzsa and Straus, also on prime factors of binomial coefficients.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-13T13:12:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "number theory",
      "fractal projections",
      "application",
      "binomial coefficients",
      "prime factors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}