{
  "id": "math/0208050",
  "version": "v1",
  "published": "2002-08-06T23:25:48.000Z",
  "updated": "2002-08-06T23:25:48.000Z",
  "title": "Relations between the ranks and cranks of partitions",
  "authors": [
    "A. O. L. Atkin",
    "F. G. Garvan"
  ],
  "comment": "24 pages",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "New identities and congruences involving the ranks and cranks of partitions are proved. The proof depends on a new partial differential equation connecting their generating functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-08-06T23:25:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P81",
      "11P83",
      "05A17",
      "05A19",
      "11F11",
      "11F25",
      "11F33"
    ],
    "keywords": [
      "partitions",
      "proof depends",
      "partial differential equation connecting",
      "identities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......8050A"
    }
  }
}