{
  "id": "0812.2592",
  "version": "v3",
  "published": "2008-12-14T00:26:25.000Z",
  "updated": "2009-08-17T19:31:33.000Z",
  "title": "Identities for the Riemann zeta function",
  "authors": [
    "Michael O. Rubinstein"
  ],
  "comment": "14 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We obtain several expansions for $\\zeta(s)$ involving a sequence of polynomials in $s$, denoted in this paper by $\\alpha_k(s)$. These polynomials can be regarded as a generalization of Stirling numbers of the first kind and our identities extend some series expansions for the zeta function that are known for integer values of $s$. The expansions also give a different approach to the analytic continuation of the Riemann zeta function.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-08-17T19:31:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M06"
    ],
    "keywords": [
      "riemann zeta function",
      "analytic continuation",
      "first kind",
      "identities extend",
      "series expansions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.2592R"
    }
  }
}