{
  "id": "1603.09101",
  "version": "v1",
  "published": "2016-03-30T09:45:30.000Z",
  "updated": "2016-03-30T09:45:30.000Z",
  "title": "Some Congruences of a Restricted Bipartition Function",
  "authors": [
    "Nipen Saikia",
    "Chayanika Boruah"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $c_N(n)$ denotes the number of bipartitions $(\\lambda, \\mu)$ of a positive integer $n$ subject to the restriction that each part of $\\mu$ is divisible by $N$. In this paper, we prove some congruence properties of the function $c_N(n)$ for $N=7$, 11, and $5l$, for any integer $l\\ge 1$, by employing Ramanujan's theta-function identities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-30T09:45:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A17",
      "11P83"
    ],
    "keywords": [
      "restricted bipartition function",
      "employing ramanujans theta-function identities",
      "congruence properties",
      "positive integer",
      "restriction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160309101S"
    }
  }
}