{
  "id": "0712.1855",
  "version": "v2",
  "published": "2007-12-12T02:06:49.000Z",
  "updated": "2008-05-08T01:46:39.000Z",
  "title": "A variation of multiple $L$-values arising from the spectral zeta function of the non-commutative harmonic oscillator",
  "authors": [
    "Kazufumi Kimoto",
    "Yoshinori Yamasaki"
  ],
  "comment": "10 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "A variation of multiple $L$-values, which arises from the description of the special values of the spectral zeta function of the non-commutative harmonic oscillator, is introduced. In some special cases, we show that its generating function can be written in terms of the gamma functions. This result enables us to obtain explicit evaluations of them.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-05-08T01:46:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M41",
      "05E05"
    ],
    "keywords": [
      "spectral zeta function",
      "non-commutative harmonic oscillator",
      "values arising",
      "special values",
      "special cases"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.1855K"
    }
  }
}