{
  "id": "1204.6361",
  "version": "v1",
  "published": "2012-04-28T03:21:02.000Z",
  "updated": "2012-04-28T03:21:02.000Z",
  "title": "Congruence classes of 2-adic valuations of Stirling numbers of the second kind",
  "authors": [
    "Curtis Bennett",
    "Edward Mosteig"
  ],
  "comment": "23 pages, 1 figure",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "We analyze congruence classes of $S(n,k)$, the Stirling numbers of the second kind, modulo powers of 2. This analysis provides insight into a conjecture posed by Amdeberhan, Manna and Moll, which those authors established for $k\\le5$. We provide a framework that can be used to justify the conjecture by computational means, which we then complete for $k=5, 6,..., 20$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-04-28T03:21:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B73"
    ],
    "keywords": [
      "second kind",
      "stirling numbers",
      "valuations",
      "analyze congruence classes",
      "modulo powers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.6361B"
    }
  }
}