{
  "id": "1611.08180",
  "version": "v1",
  "published": "2016-11-24T13:40:26.000Z",
  "updated": "2016-11-24T13:40:26.000Z",
  "title": "Sums of the digits in bases 2 and 3",
  "authors": [
    "Jean-Marc Deshouillers",
    "Laurent Habsieger",
    "Shanta Laishram",
    "Bernard Landreau"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Let b $\\ge$ 2 be an integer and let s b (n) denote the sum of the digits of the representation of an integer n in base b. For sufficiently large N , one has Card{n $\\le$ N : |s 3 (n) -- s 2 (n)| $\\le$ 0.1457205 log n} \\textgreater{} N 0.970359. The proof only uses the separate (or marginal) distributions of the values of s 2 (n) and s 3 (n).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-24T13:40:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "representation",
      "sufficiently large",
      "distributions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}