{
  "id": "2011.12828",
  "version": "v1",
  "published": "2020-11-25T15:34:05.000Z",
  "updated": "2020-11-25T15:34:05.000Z",
  "title": "Cylindric partitions and some new $A_2$ Rogers-Ramanujan identities",
  "authors": [
    "Sylvie Corteel",
    "Jehanne Dousse",
    "Ali K. Uncu"
  ],
  "comment": "12 pages, 3 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "We study the generating functions for cylindric partitions with profile $(c_1,c_2,c_3)$ for all $c_1,c_2,c_3$ such that $c_1+c_2+c_3=5$. This allows us to discover and prove seven new $A_2$ Rogers-Ramanujan identities modulo $8$ with quadruple sums, related with work of Andrews, Schilling, and Warnaar.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-25T15:34:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cylindric partitions",
      "rogers-ramanujan identities modulo",
      "quadruple sums",
      "generating functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}