{
  "id": "2001.00162",
  "version": "v1",
  "published": "2020-01-01T08:28:41.000Z",
  "updated": "2020-01-01T08:28:41.000Z",
  "title": "Overpartitions and Bressoud's conjecture, II",
  "authors": [
    "Thomas Y. He",
    "Kathy Q. Ji",
    "Alice X. H. Zhao"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "The main objective of this paper is to prove Bressoud's conjecture for $j=0$. The case for $j=1$ has been recently proved by Kim. We first obtain an overpartition analogue of Bressoud's conjecture for $j=1$ by using a bijective method. We then show that Bressoud's conjecture for $j=0$ can be derived from the overpartition analogue of Bressoud's conjecture for $j=1$ with the aid of the relation between the partition function $B_0$ in Bressoud's conjecture and the partition function $\\bar{B}_1$ established in our previous paper.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-01T08:28:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A17",
      "11P84"
    ],
    "keywords": [
      "bressouds conjecture",
      "overpartition analogue",
      "partition function",
      "bijective method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}