{
  "id": "2203.03257",
  "version": "v1",
  "published": "2022-03-07T10:24:39.000Z",
  "updated": "2022-03-07T10:24:39.000Z",
  "title": "New companions to the generations of the Göllnitz-Gordon identities",
  "authors": [
    "Thomas Y. He",
    "Alice X. H. Zhao"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "The G\\\"ollnitz-Gordon identities were found by G\\\"ollnitz and Gordon independently. In 1967, Andrews obtained a combinatorial generalization of the G\\\"ollnitz-Gordon identities, called the Andrews-G\\\"ollnitz-Gordon theorem. In 1980, Bressoud extended the Andrews-G\\\"ollnitz-Gordon theorem to even moduli, called the Bressoud-G\\\"ollnitz-Gordon theorem. Furthermore, Bressoud gave the generating functions for the generalizations of the G\\\"ollnitz-Gordon identities. In this article, we will give new companions to the generalizations of the G\\\"ollnitz-Gordon identities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-07T10:24:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A17",
      "11P81",
      "11P84"
    ],
    "keywords": [
      "göllnitz-gordon identities",
      "companions",
      "generations",
      "combinatorial generalization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}