{
  "id": "0901.0354",
  "version": "v6",
  "published": "2009-01-04T04:59:38.000Z",
  "updated": "2009-11-03T06:58:47.000Z",
  "title": "Generic T-adic exponential sums in one variable",
  "authors": [
    "Chunlei Liu",
    "Wenxin Liu",
    "Chuanze Niu"
  ],
  "comment": "including update proofs of results of 0802.0271",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "The $T$-adic exponential sum associated to a Laurent polynomial in one variable is studied. An explicit arithmetic polygon is proved to be the generic Newton polygon of the $C$-function of the T-adic exponential sum. It gives the generic Newton polygon of $L$-functions of $p$-power order exponential sums.",
  "revisions": [
    {
      "version": "v6",
      "updated": "2009-11-03T06:58:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11L07",
      "11F30"
    ],
    "keywords": [
      "generic t-adic exponential sums",
      "generic newton polygon",
      "power order exponential sums",
      "explicit arithmetic polygon",
      "laurent polynomial"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0901.0354L"
    }
  }
}