{
  "id": "1404.4723",
  "version": "v2",
  "published": "2014-04-18T09:07:45.000Z",
  "updated": "2016-03-16T04:44:00.000Z",
  "title": "On a conjecture of Kimoto and Wakayama",
  "authors": [
    "Ling Long",
    "Robert Osburn",
    "Holly Swisher"
  ],
  "comment": "8 pages, to appear in Proceedings of the AMS",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "We prove a conjecture due to Kimoto and Wakayama from 2006 concerning Apery-like numbers associated to a special value of a spectral zeta function. Our proof uses hypergeometric series and p-adic analysis.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-18T09:07:45.000Z",
      "comment": "8 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2016-03-16T04:44:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C20",
      "11B65",
      "11M41"
    ],
    "keywords": [
      "conjecture",
      "spectral zeta function",
      "special value",
      "hypergeometric series",
      "p-adic analysis"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.4723L"
    }
  }
}