{
  "id": "1305.5891",
  "version": "v1",
  "published": "2013-05-25T06:46:43.000Z",
  "updated": "2013-05-25T06:46:43.000Z",
  "title": "Some special values of hypergeometric series related to central values of automorphic $L$-functions",
  "authors": [
    "Akihito Ebisu"
  ],
  "comment": "11pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "In a recent work, H.Narita presented problems concerning the strict positivity of central values of certain automorphic $L$-functions in the form of questions regarding special values of the hypergeometric series. In this paper, we present partial answers to these questions using the theory of orthogonal polynomials and three term relations of the hypergeometric series.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-25T06:46:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C05"
    ],
    "keywords": [
      "hypergeometric series",
      "central values",
      "automorphic",
      "questions regarding special values",
      "strict positivity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.5891E"
    }
  }
}