{
  "id": "1107.3882",
  "version": "v2",
  "published": "2011-07-20T02:48:39.000Z",
  "updated": "2013-05-08T06:28:51.000Z",
  "title": "On a Generalization of Bernoulli and Euler Numbers",
  "authors": [
    "Andrey Sarantsev"
  ],
  "comment": "This is my undergraduate research. This is a report on the 10th International Seminar \"Discrete Mathematics and Its Applications\", in January 2010, which was held in Lomonosov Moscow State University",
  "categories": [
    "math.CO",
    "math.PR"
  ],
  "abstract": "We introduce a series of numbers which serve as a generalization of Bernoulli, Euler numbers and binomial coefficients. Their properties are applied to solve a probability problem and suggest a statistical test for independence and identical distribution of random variables.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-05-08T06:28:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A10"
    ],
    "keywords": [
      "euler numbers",
      "generalization",
      "binomial coefficients",
      "probability problem",
      "random variables"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.3882S"
    }
  }
}