{
  "id": "math/0506278",
  "version": "v1",
  "published": "2005-06-14T14:26:10.000Z",
  "updated": "2005-06-14T14:26:10.000Z",
  "title": "q-Euler and Genocchi numbers",
  "authors": [
    "Taekyun Kim"
  ],
  "comment": "7 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Carlitz has introduced an interesting $q$-analogue of Frobenius-Euler numbers in [4]. He has indicated a corresponding Stadudt-Clausen theorem and also some interesting congruence properties of the $q$-Euler numbers. In this paper we give another construction of $q$-Euler numbers, which are different than his $q$-Euler numbers. By using our $q$-Euler numbers, we define the $q$-analogue of Genocchi numbers and investigate the relations between $q$-Euler numbers and $q$-analogs of Genocchi numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-06-14T14:26:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B68",
      "11S80"
    ],
    "keywords": [
      "genocchi numbers",
      "corresponding stadudt-clausen theorem",
      "frobenius-euler numbers",
      "interesting congruence properties",
      "construction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......6278K"
    }
  }
}