{
  "id": "1709.02584",
  "version": "v1",
  "published": "2017-09-08T08:27:35.000Z",
  "updated": "2017-09-08T08:27:35.000Z",
  "title": "New congruences for broken $k$-diamond partitions",
  "authors": [
    "Dazhao Tang"
  ],
  "comment": "8 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "The notion of broken $k$-diamond partitions was introduced by Andrews and Paule. Let $\\Delta_{k}(n)$ denote the number of broken $k$-diamond partitions of $n$ for a fixed positive integer $k$. In this paper, we establish new infinite families of broken $k$-diamond partition congruences.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-08T08:27:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A17",
      "11P83"
    ],
    "keywords": [
      "diamond partition congruences",
      "infinite families",
      "fixed positive integer"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}