{
  "id": "2105.12854",
  "version": "v1",
  "published": "2021-05-26T21:23:50.000Z",
  "updated": "2021-05-26T21:23:50.000Z",
  "title": "Joint distribution in residue classes of polynomial-like multiplicative functions",
  "authors": [
    "Paul Pollack",
    "Akash Singha Roy"
  ],
  "comment": "13 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Under fairly general conditions, we show that families of integer-valued polynomial-like multiplicative functions are uniformly distributed in coprime residue classes mod $p$, where $p$ is a growing prime (or nearly prime) modulus. This can be seen as complementary to work of Narkiewicz, who obtained comprehensive results for fixed moduli.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-05-26T21:23:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A25",
      "11N36",
      "11N64"
    ],
    "keywords": [
      "joint distribution",
      "coprime residue classes mod",
      "fairly general conditions",
      "fixed moduli",
      "integer-valued polynomial-like multiplicative functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}