{
  "id": "1409.0198",
  "version": "v1",
  "published": "2014-08-31T09:12:39.000Z",
  "updated": "2014-08-31T09:12:39.000Z",
  "title": "Infinite series involving hyperbolic functions",
  "authors": [
    "Yasushi Komori",
    "Kohji Matsumoto",
    "Hirofumi Tsumura"
  ],
  "comment": "18 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In the former part of this paper, we summarize our previous results on infinite series involving the hyperbolic sine function, especially, with a focus on the hyperbolic sine analogue of Eisenstein series. Those are based on the classical results given by Cauchy, Mellin and Kronecker. In the latter part, we give new formulas for some infinite series involving the hyperbolic cosine function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-31T09:12:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M41",
      "11B68",
      "11F27",
      "11M32",
      "11M99"
    ],
    "keywords": [
      "infinite series",
      "hyperbolic functions",
      "hyperbolic cosine function",
      "hyperbolic sine analogue",
      "hyperbolic sine function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}