{
  "id": "1705.09386",
  "version": "v1",
  "published": "2017-05-25T22:59:10.000Z",
  "updated": "2017-05-25T22:59:10.000Z",
  "title": "On Müntz-type formulas related to the Riemann zeta function",
  "authors": [
    "Hélder Lima"
  ],
  "comment": "18 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "The Mellin transform and several Dirichlet series related with the Riemann zeta function are used to deduce some identities similar to the classical M\\\"untz formula [4]. These formulas are derived in the critical strip and in the half-plane $Re(s)<0$. As particular cases, integral representations for products of the gamma and zeta functions are exhibited.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-25T22:59:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M06",
      "11M26",
      "33B15",
      "42A38",
      "42B10",
      "44A05",
      "44A20"
    ],
    "keywords": [
      "riemann zeta function",
      "müntz-type formulas",
      "dirichlet series",
      "identities similar",
      "mellin transform"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}