{
  "id": "1506.07386",
  "version": "v1",
  "published": "2015-06-03T15:31:47.000Z",
  "updated": "2015-06-03T15:31:47.000Z",
  "title": "Some relations involving the higher derivatives of the Riemann zeta function",
  "authors": [
    "Donal F. Connon"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We show that the higher derivatives of the Riemann zeta function may be expressed in terms of integrals involving the digamma function. Related integrals for the Stieltjes constants are also shown. We also present a formula for the derivatives of the Riemann zeta function entirely in terms of the Lehmer constants.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-03T15:31:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "riemann zeta function",
      "higher derivatives",
      "lehmer constants",
      "digamma function",
      "stieltjes constants"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150607386C"
    }
  }
}