{
  "id": "0911.5182",
  "version": "v1",
  "published": "2009-11-27T01:08:20.000Z",
  "updated": "2009-11-27T01:08:20.000Z",
  "title": "Generic twisted $T$-adic exponential sums of binomials",
  "authors": [
    "Chunlei Liu",
    "Chuanze Niu"
  ],
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "The twisted $T$-adic exponential sum associated to $x^{d}+\\lambda x$ is studied. If $\\lambda\\neq0,$ then an explicit arithmetic polygon is proved to be the Newton polygon of the twisted $C$-function of the T-adic exponential sum. It gives the Newton polygons of the $L$-functions of twisted $p$-power order exponential sums.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-11-27T01:08:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11L07",
      "11F30"
    ],
    "keywords": [
      "power order exponential sums",
      "newton polygon",
      "t-adic exponential sum",
      "explicit arithmetic polygon"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.5182L"
    }
  }
}