{
  "id": "1807.01890",
  "version": "v1",
  "published": "2018-07-05T08:18:22.000Z",
  "updated": "2018-07-05T08:18:22.000Z",
  "title": "Elementary proof of congruences modulo 25 for broken $k$-diamond partitions",
  "authors": [
    "Shane Chern",
    "Dazhao Tang"
  ],
  "comment": "9 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "Let $\\Delta_{k}(n)$ denote the number of $k$-broken diamond partitions of $n$. Quite recently, the second author proved an infinite family of congruences modulo 25 for $\\Delta_{k}(n)$ with the help of modular forms. In this paper, we aim to provide an elementary proof of this result.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-05T08:18:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A17",
      "11P83"
    ],
    "keywords": [
      "congruences modulo",
      "elementary proof",
      "broken diamond partitions",
      "second author",
      "modular forms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}