{
  "id": "2411.11815",
  "version": "v1",
  "published": "2024-11-12T14:25:50.000Z",
  "updated": "2024-11-12T14:25:50.000Z",
  "title": "Combinatorial proofs of several partition identities of Andrews and Merca",
  "authors": [
    "Ji-Cai Liu",
    "Huan Liu"
  ],
  "comment": "9 pages",
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "Based on a bijection due to Fu and Tang, we provide combinatorial proofs of several partition identities of Andrews and Merca. We also introduce two weights for partitions to extend one of these identities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-11-12T14:25:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P84",
      "05A17",
      "05A19"
    ],
    "keywords": [
      "partition identities",
      "combinatorial proofs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}