{
  "id": "1511.08147",
  "version": "v1",
  "published": "2015-11-24T09:48:49.000Z",
  "updated": "2015-11-24T09:48:49.000Z",
  "title": "Addendum to: On the rational approximation of the sum of the reciprocals of the Fermat numbers",
  "authors": [
    "Michael Coons"
  ],
  "journal": "The Ramanujan Journal 37 (2015), no. 1, 109-111",
  "categories": [
    "math.NT"
  ],
  "abstract": "As a corollary of the main result of our recent paper, {\\em On the rational approximation of the sum of the reciprocals of the Fermat numbers} published in this same journal, we prove that for each integer $b\\geq 2$ the irrationality exponent of $\\sum_{n\\geqslant 0} s_2(n)/b^n$ is equal to $2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-24T09:48:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rational approximation",
      "fermat numbers",
      "reciprocals",
      "main result"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}