{
  "id": "1708.08164",
  "version": "v1",
  "published": "2017-08-28T02:08:43.000Z",
  "updated": "2017-08-28T02:08:43.000Z",
  "title": "Mean values of some Hecke characters",
  "authors": [
    "Peng Gao",
    "Liangyi Zhao"
  ],
  "comment": "10 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we evaluate a smoothed character sum involving $\\sum_{m}\\sum_{n}\\leg {m}{n}$, with quadratic, cubic or quartic Hecke characters $\\leg {m}{n}$, and the two sums over $m$ and $n$ are of comparable lengths.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-28T02:08:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11L05",
      "11L40",
      "11R11"
    ],
    "keywords": [
      "mean values",
      "quartic hecke characters",
      "smoothed character sum",
      "comparable lengths"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}