{
  "id": "0911.0511",
  "version": "v1",
  "published": "2009-11-03T07:27:49.000Z",
  "updated": "2009-11-03T07:27:49.000Z",
  "title": "$T$-adic exponential sums of polynomials in one variable",
  "authors": [
    "Chunlei Liu",
    "Wenxin Liu"
  ],
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "The $T$-adic exponential sum of 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 T-adic exponential sum. This bound gives lower bounds for the Newton polygon of the $L$-function of exponential sums of $p$-power order.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-11-03T07:27:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11L07",
      "11F30"
    ],
    "keywords": [
      "polynomial",
      "newton polygon",
      "lower bound",
      "t-adic exponential sum",
      "explicit arithmetic polygon"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.0511L"
    }
  }
}