{
  "id": "0812.3382",
  "version": "v1",
  "published": "2008-12-17T20:04:45.000Z",
  "updated": "2008-12-17T20:04:45.000Z",
  "title": "p-Density, exponential sums and Artin-Schreier curves",
  "authors": [
    "Régis Blache"
  ],
  "comment": "12 pages",
  "journal": "J. Number Theory 132, pp 2336-2352, 2012",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "In this paper we define the $p$-density of a finite subset $D\\subset\\ma{N}^r$, and show that it gives a good lower bound for the $p$-adic valuation of exponential sums over finite fields of characteristic $p$. We also give an application: when $r=1$, the $p$-density is the first slope of the generic Newton polygon of the family of Artin-Schreier curves associated to polynomials with their exponents in $D$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-12-17T20:04:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exponential sums",
      "artin-schreier curves",
      "generic newton polygon",
      "adic valuation",
      "finite subset"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.3382B"
    }
  }
}