{
  "id": "1902.00790",
  "version": "v1",
  "published": "2019-02-02T20:55:14.000Z",
  "updated": "2019-02-02T20:55:14.000Z",
  "title": "A variant of ${\\texttt{IdentityFinder}}$ and some new identities of Rogers-Ramanujan-MacMahon type",
  "authors": [
    "Shashank Kanade",
    "Debajyoti Nandi",
    "Matthew C. Russell"
  ],
  "comment": "subsumes arXiv:1703.04715",
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "We report on findings of a variant of ${\\texttt{IdentityFinder}}$ - a Maple program that was used by two of the authors to conjecture several new identities of Rogers-Ramanujan kind. In the present search, we modify the parametrization of the search space by taking into consideration several aspects of Lepowsky and Wilson's $Z$-algebraic mechanism and its variant by Meurman and Primc. We search for identities based on forbidding the appearance of \"flat\" partitions as sub-partitions. Several new identities of Rogers-Ramanujan-MacMahon type are found and proved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-02T20:55:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "05A17",
      "11P84",
      "17B69"
    ],
    "keywords": [
      "rogers-ramanujan-macmahon type",
      "identities",
      "maple program",
      "rogers-ramanujan kind",
      "search space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}