{
  "id": "1106.5247",
  "version": "v2",
  "published": "2011-06-26T18:49:17.000Z",
  "updated": "2012-05-03T07:04:30.000Z",
  "title": "On Some Explicit Formulas for Bernoulli Numbers and Polynomials",
  "authors": [
    "Lazhar Fekih-Ahmed"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We provide direct elementary proofs of several explicit expressions for Bernoulli numbers and Bernoulli polynomials. As a byproduct of our method of proof, we provide natural definitions for generalized Bernoulli numbers and polynomials of complex order.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-05-03T07:04:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "explicit formulas",
      "direct elementary proofs",
      "explicit expressions",
      "complex order",
      "bernoulli polynomials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.5247F"
    }
  }
}