{
  "id": "1907.13450",
  "version": "v1",
  "published": "2019-07-31T12:30:25.000Z",
  "updated": "2019-07-31T12:30:25.000Z",
  "title": "Ramanujan type of congruences modulo m for (l, m)-regular bipartitions",
  "authors": [
    "T. Kathiravan"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $B_{l,m}(n)$ denote the number of $(l,m)$-regular bipartitions of $n$. Recently, many authors proved several infinite families of congruences modulo $3$, $5$ and $11$ for $B_{l,m}(n)$. In this paper, using theta function identities to prove infinite families of congruences modulo $m$ for $(l,m)$-regular bipartitions, where $m\\in\\{3,11,13,17\\}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-31T12:30:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P83",
      "05A17"
    ],
    "keywords": [
      "congruences modulo",
      "ramanujan type",
      "regular bipartitions",
      "infinite families",
      "theta function identities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}