{
  "id": "2202.08390",
  "version": "v1",
  "published": "2022-02-17T01:02:08.000Z",
  "updated": "2022-02-17T01:02:08.000Z",
  "title": "An analogue of the Robin inequality of the second type for odd integers",
  "authors": [
    "Yoshihiro Koya"
  ],
  "comment": "Tables of numerical computations are submitted. Please check it out also",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper we give a variant of the Robin inequality which states that $\\frac{\\sigma(n)}{n} \\leq \\frac{e^\\gamma}{2} \\log\\log n + \\frac{0.7399\\cdots}{\\log\\log n}$ for any odd integer $n \\geq 3$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-02-17T01:02:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M06",
      "11M26"
    ],
    "keywords": [
      "robin inequality",
      "odd integer",
      "second type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}