{
  "id": "1601.06480",
  "version": "v1",
  "published": "2016-01-25T05:19:20.000Z",
  "updated": "2016-01-25T05:19:20.000Z",
  "title": "Congruences and recursions for the cubic partitions",
  "authors": [
    "Shane Chern",
    "Manosij Ghosh Dastidar"
  ],
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "Let $p_2(n)$ denote the number of cubic partitions. In this paper, we shall present two new congruences modulo $11$ for $p_2(n)$. We also provide an elementary alternative proof of a congruence established by Chan. Furthermore, we will establish a recursion for $p_2(n)$, which is a special case of a broader class of recursions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-25T05:19:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P83",
      "05A17"
    ],
    "keywords": [
      "cubic partitions",
      "congruences modulo",
      "elementary alternative proof",
      "special case",
      "broader class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160106480C"
    }
  }
}