{
  "id": "1807.11189",
  "version": "v1",
  "published": "2018-07-30T06:18:40.000Z",
  "updated": "2018-07-30T06:18:40.000Z",
  "title": "Andrews-Gordon Type Series for Capparelli's and Göllnitz-Gordon Identities",
  "authors": [
    "Kağan Kurşungöz"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We construct Andrews-Gordon type evidently positive series as generating functions for the partitions satisfying the difference conditions imposed by Capparelli's identities and G\\\"{o}llnitz-Gordon identities. The construction involves building base partitions, and move parts around subject to certain rules. Some missing cases are also considered, but no new identities are given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-30T06:18:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A17",
      "05A15",
      "11P84"
    ],
    "keywords": [
      "andrews-gordon type series",
      "göllnitz-gordon identities",
      "andrews-gordon type evidently positive series",
      "difference conditions",
      "construct andrews-gordon type evidently positive"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}