{
  "id": "0912.1414",
  "version": "v1",
  "published": "2009-12-08T06:54:11.000Z",
  "updated": "2009-12-08T06:54:11.000Z",
  "title": "A note on the sign (unit root) ambiguities of Gauss sums in index 2 and 4 cases",
  "authors": [
    "Jing Yang",
    "Lingli Xia"
  ],
  "journal": "Front. Math. China 2012, 7(4): 743--764",
  "doi": "10.1007/s11464-012-0217-2",
  "categories": [
    "math.NT"
  ],
  "abstract": "Recently, the explicit evaluation of Gauss sums in the index 2 and 4 cases have been given in several papers (see [2,3,7,8]). In the course of evaluation, the sigh (or unit root) ambiguities are unavoidably occurred. This paper presents another method, different from [7] and [8], to determine the sigh (unit root) ambiguities of Gauss sums in the index 2 case, as well as the ones with odd order in the non-cyclic index 4 case. And we note that the method in this paper are more succinct and effective than [8] and [7].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-12-08T06:54:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11L05",
      "11T24"
    ],
    "keywords": [
      "gauss sums",
      "unit root",
      "ambiguities",
      "odd order",
      "non-cyclic index"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0912.1414Y"
    }
  }
}