{
  "id": "1903.01157",
  "version": "v1",
  "published": "2019-03-04T10:13:48.000Z",
  "updated": "2019-03-04T10:13:48.000Z",
  "title": "A Polynomial Identity Implying Schur's Partition Theorem",
  "authors": [
    "Ali K. Uncu"
  ],
  "comment": "11 pages",
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "We propose and prove a new polynomial identity that implies Schur's partition theorem. We give combinatorial interpretations of some of our expressions in the spirit of Kur\\c{s}ung\\\"oz. We also present some related polynomial and $q$-series identities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-04T10:13:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "05A17",
      "05A19",
      "11B37",
      "11P83"
    ],
    "keywords": [
      "identity implying schurs partition theorem",
      "polynomial identity implying schurs partition",
      "implies schurs partition theorem",
      "series identities",
      "combinatorial interpretations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}