{
  "id": "1602.02632",
  "version": "v1",
  "published": "2016-02-08T16:20:24.000Z",
  "updated": "2016-02-08T16:20:24.000Z",
  "title": "On p-adic approximation of sums of binomial coefficients",
  "authors": [
    "Rustem R. Aidagulov",
    "Max A. Alekseyev"
  ],
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "We propose higher-order generalizations of Jacobsthal's p-adic approximation for binomial coefficients. Our results imply explicit formulae for linear combinations of binomial coefficients $\\binom{ip}{p}$ (i=1,2,...) that are divisible by arbitrarily large powers of prime p.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-08T16:20:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A10",
      "11A07",
      "11B65"
    ],
    "keywords": [
      "binomial coefficients",
      "results imply explicit formulae",
      "jacobsthals p-adic approximation",
      "higher-order generalizations",
      "linear combinations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}