{
  "id": "0911.1434",
  "version": "v1",
  "published": "2009-11-07T17:46:04.000Z",
  "updated": "2009-11-07T17:46:04.000Z",
  "title": "Instant Multiple Zeta Values at Non-Positive Integers and Bernoulli Functions",
  "authors": [
    "Vivek V. Rane"
  ],
  "comment": "10 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We give an instant evaluation of multiple Zeta function at non-positive integers by elementary methods and discuss the Fourier theory (on unit interval) of the product of Bernoulli polynomials.We also show that the polynomial expression for Hurwitz Zeta function(at non-positive integral values of the first variable) and the polynomial expression for Bernoulli polynomials are equivalent.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-11-07T17:46:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M41"
    ],
    "keywords": [
      "instant multiple zeta values",
      "non-positive integers",
      "bernoulli functions",
      "polynomial expression",
      "bernoulli polynomials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.1434R"
    }
  }
}