{
  "id": "0912.1929",
  "version": "v1",
  "published": "2009-12-10T07:49:32.000Z",
  "updated": "2009-12-10T07:49:32.000Z",
  "title": "Twisted exponential sums of polynomials in one variable",
  "authors": [
    "Chunlei Liu",
    "Wenxin Liu"
  ],
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "The twisted $T$-adic exponential sum associated to a polynomial in one variable is studied. An explicit arithmetic polygon in terms of the highest two exponents of the polynomial is proved to be a lower bound of the Newton polygon of the $C$-function of the twisted T-adic exponential sum. This bound gives lower bounds for the Newton polygon of the $L$-function of twisted $p$-power order exponential sums.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-12-10T07:49:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11L07",
      "11F30"
    ],
    "keywords": [
      "twisted exponential sums",
      "polynomial",
      "power order exponential sums",
      "newton polygon",
      "lower bound"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s11425-010-3144-2",
      "journal": "Science in China A: Mathematics",
      "year": 2010,
      "month": "May",
      "volume": 53,
      "number": 9,
      "pages": 2395
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010ScChA..53.2395L"
    }
  }
}