{
  "id": "1710.08507",
  "version": "v1",
  "published": "2017-10-23T21:03:23.000Z",
  "updated": "2017-10-23T21:03:23.000Z",
  "title": "On partitions with even parts below odd parts",
  "authors": [
    "Shane Chern"
  ],
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "Recently, Andrews gave a detailed study of partitions with even parts below odd parts in which only the largest even part appears an odd number of times. In this paper, we provide a combinatorial proof of the generating function identity of such partitions. We also have a further investigation on the largest even part. Finally, we give an interesting weighted overpartition generalization.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-23T21:03:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A17",
      "11P83"
    ],
    "keywords": [
      "odd parts",
      "partitions",
      "part appears",
      "odd number",
      "andrews gave"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}