{
  "id": "1808.01432",
  "version": "v1",
  "published": "2018-08-04T06:15:50.000Z",
  "updated": "2018-08-04T06:15:50.000Z",
  "title": "Andrews-Gordon Type Series for Kanade-Russell Conjectures",
  "authors": [
    "Kağan Kurşungöz"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We construct Andrews-Gordon type evidently positive series as generating functions of partitions satisfying certain difference conditions in six conjectures by Kanade and Russell. We construct generating functions for missing partition enumerants, naturally without claiming new partition identities. Thus, we obtain $q$-series conjectures as companions to Kanade and Russell's combinatorial conjectures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-04T06:15:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A17",
      "05A15",
      "11P84"
    ],
    "keywords": [
      "andrews-gordon type series",
      "kanade-russell conjectures",
      "russells combinatorial conjectures",
      "andrews-gordon type evidently positive series",
      "construct andrews-gordon type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}