{
  "id": "2207.14590",
  "version": "v1",
  "published": "2022-07-29T10:14:06.000Z",
  "updated": "2022-07-29T10:14:06.000Z",
  "title": "Sign changes in statistics for plane partitions",
  "authors": [
    "Walter Bridges",
    "Johann Franke",
    "Joshua Males"
  ],
  "comment": "2 figures",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "Recent work of Cesana, Craig and the third author shows that the trace of plane partitions is asymptotically equidistributed in residue classes mod $b$. Applying a technique of the first two authors and Garnowski, we prove asymptotic formulas for the secondary terms in this equidistribution, which are controlled by certain complex numbers generated by a twisted MacMahon-type product. We further carry out a similar analysis for a statistic related to plane overpartitions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-29T10:14:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P82"
    ],
    "keywords": [
      "plane partitions",
      "sign changes",
      "residue classes mod",
      "plane overpartitions",
      "third author"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}