{
  "id": "2005.01272",
  "version": "v1",
  "published": "2020-05-04T04:57:40.000Z",
  "updated": "2020-05-04T04:57:40.000Z",
  "title": "Variations of Andrews-Beck type congruences",
  "authors": [
    "Song Heng Chan",
    "Renrong Mao",
    "Robert Osburn"
  ],
  "comment": "15 pages",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "We prove three variations of recent results due to Andrews on congruences for $NT(m,k,n)$, the total number of parts in the partitions of $n$ with rank congruent to $m$ modulo $k$. We also conjecture new congruences and relations for $NT(m,k,n)$ and for a related crank-type function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-04T04:57:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P81",
      "05A17"
    ],
    "keywords": [
      "andrews-beck type congruences",
      "variations",
      "total number",
      "rank congruent",
      "related crank-type function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}