{
  "id": "1308.0783",
  "version": "v1",
  "published": "2013-08-04T07:20:28.000Z",
  "updated": "2013-08-04T07:20:28.000Z",
  "title": "Generic A-family of exponential sums",
  "authors": [
    "Hui June Zhu"
  ],
  "comment": "16 pages",
  "journal": "J. Number Theory 143 (2014), 82--101",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper we construct a generating polynomial over the rationals for the generic Newton polygon for the L function of exponential sums of the family of f = x^d+ a x^s parameterized by a, and prove some of its key properties. The generating polynomial encodes information of and determines the generic Newton polygon at each prime p when p is large enough, and vice versa.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-08-04T07:20:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exponential sums",
      "generic newton polygon",
      "generic a-family",
      "generating polynomial encodes information",
      "vice versa"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.0783Z"
    }
  }
}