{
  "id": "1510.01901",
  "version": "v1",
  "published": "2015-10-07T11:25:48.000Z",
  "updated": "2015-10-07T11:25:48.000Z",
  "title": "Hankel determinants of zeta values",
  "authors": [
    "Alan Haynes",
    "Wadim Zudilin"
  ],
  "comment": "5 pages",
  "categories": [
    "math.NT",
    "math.CA"
  ],
  "abstract": "We study the asymptotics of Hankel determinants constructed using the values $\\zeta(an+b)$ of the Riemann zeta function at positive integers in an arithmetic progression. Our principal result is a Diophantine application of the asymptotics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-07T11:25:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J72",
      "11C20",
      "11M06",
      "41A60"
    ],
    "keywords": [
      "hankel determinants",
      "zeta values",
      "riemann zeta function",
      "asymptotics",
      "diophantine application"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151001901H"
    }
  }
}