{
  "id": "0903.5165",
  "version": "v1",
  "published": "2009-03-30T09:39:23.000Z",
  "updated": "2009-03-30T09:39:23.000Z",
  "title": "Special value formula for the spectral zeta function of the non-commutative harmonic oscillator",
  "authors": [
    "Kazufumi Kimoto"
  ],
  "comment": "13 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We calculate the special values of the spectral zeta function of the non-commutative harmonic oscillator, and give a general formula for them as integrals of certain algebraic functions. This is a generalization of the result by Ichinose-Wakayama (2005), in which the first two special values are studied.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-03-30T09:39:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G10",
      "35P99"
    ],
    "keywords": [
      "spectral zeta function",
      "non-commutative harmonic oscillator",
      "special value formula",
      "general formula",
      "algebraic functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.5165K"
    }
  }
}