{
  "id": "math/0501530",
  "version": "v1",
  "published": "2005-01-29T20:15:16.000Z",
  "updated": "2005-01-29T20:15:16.000Z",
  "title": "On Estimates of Exponential Sums",
  "authors": [
    "N. A. Carella"
  ],
  "comment": "7 Pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "This paper introduces a general technique for estimating the absolute value of pure Gaussian sums of order k over a prime p for a class of composite order k. The new estimate improves the classical estimate by a factor of about 2 or better (depending on k) for all sufficiently large primes p.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-01-29T20:15:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11L07"
    ],
    "keywords": [
      "exponential sums",
      "pure gaussian sums",
      "general technique",
      "composite order",
      "absolute value"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}