{
  "id": "1901.03700",
  "version": "v1",
  "published": "2019-01-10T21:21:52.000Z",
  "updated": "2019-01-10T21:21:52.000Z",
  "title": "Some relations between the Riemann zeta function and the generalized Bernoulli polynomials of level $m$",
  "authors": [
    "Yamilet Quintana",
    "Héctor Torres-Guzmán"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "The main purpose of this paper is to show some relations between the Riemann zeta function and the generalized Bernoulli polynomials of level $m$. Our approach is based on the use of Fourier expansions for the periodic generalized Bernoulli functions of level $m$, as well as quadrature formulae of Euler-Maclaurin type. Some illustrative examples involving such relations are also given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-10T21:21:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65D32",
      "41A55",
      "65B15",
      "33F05"
    ],
    "keywords": [
      "riemann zeta function",
      "generalized bernoulli polynomials",
      "periodic generalized bernoulli functions",
      "main purpose",
      "fourier expansions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}