{
  "id": "2301.12484",
  "version": "v1",
  "published": "2023-01-29T16:43:44.000Z",
  "updated": "2023-01-29T16:43:44.000Z",
  "title": "New partition identities for odd w odd",
  "authors": [
    "Mirko Primc"
  ],
  "comment": "7 pages",
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "In this note we conjecture Rogers-Ramanujan type colored partition identities for an array with odd number of rows w such that the first and the last row consist of even positive integers. In a strange way this is different from the partition identities for the array with odd number of rows w such that the first and the last row consist of odd positive integers -- the partition identities conjectured by S. Capparelli, A. Meurman, A. Primc and the author and related to standard representations of the affine Lie algebra of type $C^{(1)}_\\ell$ for $w=2\\ell+1$. The conjecture is based on numerical evidence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-29T16:43:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A19",
      "17B67"
    ],
    "keywords": [
      "odd number",
      "row consist",
      "conjecture rogers-ramanujan type colored partition",
      "rogers-ramanujan type colored partition identities",
      "positive integers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}