{
  "id": "2008.06398",
  "version": "v1",
  "published": "2020-08-14T14:52:26.000Z",
  "updated": "2020-08-14T14:52:26.000Z",
  "title": "Infinite Families of Congruences Modulo 5 for Ramanujan's General Partition Function",
  "authors": [
    "Nipen Saikia",
    "Jubaraj Chetry"
  ],
  "comment": "6 Pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "For any non-negative integer $n$ and non-zero integer $r$, let $p_r(n)$ denote Ramanujan's general partition function. By employing $q$-identities, we prove some new Ramanujan-type congruences modulo 5 for $p_r(n)$ for $r=-(5\\lambda+1), -(5\\lambda+3), -(5\\lambda+4), -(25\\lambda+1)$, $-(25\\lambda+2)$, and any integer $\\lambda$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-14T14:52:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P82",
      "11P83",
      "05A15",
      "05A17"
    ],
    "keywords": [
      "infinite families",
      "denote ramanujans general partition function",
      "ramanujan-type congruences modulo",
      "non-zero integer"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}