{
  "id": "math/0105172",
  "version": "v3",
  "published": "2001-05-22T02:42:06.000Z",
  "updated": "2001-06-21T20:04:39.000Z",
  "title": "A New Bound for Kloosterman Sums",
  "authors": [
    "Jason Fulman"
  ],
  "comment": "We add a remark on Fourier analysis and make minor revisions",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We give generating functions for Gauss sums for finite general linear and unitary groups. For the general linear case only our method of proof is new, but we deduce a bound on Kloosterman sums which is sometimes sharper than Deligne's bound from algebraic geometry.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2001-06-21T20:04:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kloosterman sums",
      "finite general linear",
      "general linear case",
      "gauss sums",
      "unitary groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......5172F"
    }
  }
}