{
  "id": "0812.1303",
  "version": "v1",
  "published": "2008-12-06T18:33:55.000Z",
  "updated": "2008-12-06T18:33:55.000Z",
  "title": "On the Taylor Coefficients of the Hurwitz Zeta Function",
  "authors": [
    "Khristo Boyadzhiev"
  ],
  "comment": "9 pages. To appear in the JP Journal of Algebra, Number Theory and Applications",
  "categories": [
    "math.NT",
    "math.CA"
  ],
  "abstract": "We find a representation for the Maclaurin coefficients of the Hurwitz zeta-function in terms of semi-convergent series involving the Bernoulli polynomials and the Stirling numbers of the first kind. In particular, this gives a representation for the coefficients of the Riemann zeta function. Our main instrument is a certain series transformation formula. A similar result is proved also for the Maclaurin coefficients of the Lerch zeta function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-12-06T18:33:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M35",
      "33A70"
    ],
    "keywords": [
      "hurwitz zeta function",
      "taylor coefficients",
      "maclaurin coefficients",
      "riemann zeta function",
      "lerch zeta function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.1303B"
    }
  }
}