{
  "id": "1902.10987",
  "version": "v1",
  "published": "2019-02-28T10:10:39.000Z",
  "updated": "2019-02-28T10:10:39.000Z",
  "title": "Mean values of cubic and quartic Dirichlet Characters",
  "authors": [
    "Peng Gao",
    "Liangyi Zhao"
  ],
  "comment": "11 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We evaluate the average of cubic and quartic Dirichlet character sums with the modulus going up to a size comparable to the length of the individual sums. This generalizes a result of Conrey, Farmer and Soundararajan on quadratic Dirichlet character sums.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-28T10:10:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11L05",
      "11L40"
    ],
    "keywords": [
      "mean values",
      "quartic dirichlet character sums",
      "quadratic dirichlet character sums",
      "individual sums",
      "generalizes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}