{
  "id": "1706.06618",
  "version": "v1",
  "published": "2017-06-20T18:47:27.000Z",
  "updated": "2017-06-20T18:47:27.000Z",
  "title": "Supercongruences for Bernoulli numbers of polynomial index",
  "authors": [
    "Julian Rosen"
  ],
  "comment": "8 pages, comments welcome",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove a general family of congruences for Bernoulli numbers whose index is a polynomial function of a prime, modulo a power of that prime. Our family generalizes many known results, including the von Staudt--Clausen theorem and Kummer's congruence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-20T18:47:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B68",
      "11A07"
    ],
    "keywords": [
      "bernoulli numbers",
      "polynomial index",
      "supercongruences",
      "von staudt-clausen theorem",
      "polynomial function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}