{
  "id": "2111.11123",
  "version": "v2",
  "published": "2021-11-22T11:22:38.000Z",
  "updated": "2022-03-01T17:21:55.000Z",
  "title": "A $q$-multisum identity arising from finite chain ring probabilities",
  "authors": [
    "Jehanne Dousse",
    "Robert Osburn"
  ],
  "comment": "7 pages, to appear in the Electronic Journal of Combinatorics",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "In this note, we prove a general identity between a $q$-multisum $B_N(q)$ and a sum of $N^2$ products of quotients of theta functions. The $q$-multisum $B_N(q)$ recently arose in the computation of a probability involving modules over finite chain rings.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-03-01T17:21:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16P10",
      "16P70",
      "33D15"
    ],
    "keywords": [
      "probability",
      "finite chain ring probabilities",
      "multisum identity arising",
      "general identity",
      "theta functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}