{
  "id": "2410.14126",
  "version": "v1",
  "published": "2024-10-18T02:44:25.000Z",
  "updated": "2024-10-18T02:44:25.000Z",
  "title": "Combinatorial proof of identities involving partitions with distinct even parts and 4-regular partitions",
  "authors": [
    "Dandan Chen",
    "Ziyin Zou"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "Recently Andrews and Bachraoui proved identities relating certain restricted partitions into distinct even parts with restricted 4-regular partitions by the theory of basic hypergeometric series. They also posed a question regarding combinatorial proofs for these results. In this paper, we establish bijections to provide combinatorial proofs for these results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-10-18T02:44:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "identities",
      "question regarding combinatorial proofs",
      "basic hypergeometric series",
      "restricted partitions",
      "establish bijections"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}