{
  "id": "2301.02203",
  "version": "v1",
  "published": "2023-01-05T18:09:50.000Z",
  "updated": "2023-01-05T18:09:50.000Z",
  "title": "Divisibility of character values of the symmetric group by prime powers",
  "authors": [
    "Sarah Peluse",
    "Kannan Soundararajan"
  ],
  "comment": "In memory of Chanda Sekhar Raju. (17 pages)",
  "categories": [
    "math.CO",
    "math.NT",
    "math.RT"
  ],
  "abstract": "Proving a conjecture of Miller, we show that as $n$ tends to infinity almost all entries in the character table of $S_n$ are divisible by any given prime power. This extends our earlier work which treated divisibility by primes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-05T18:09:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "prime power",
      "symmetric group",
      "character values",
      "earlier work"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}