{
  "id": "2302.06409",
  "version": "v1",
  "published": "2023-02-13T14:46:02.000Z",
  "updated": "2023-02-13T14:46:02.000Z",
  "title": "Kloosterman sums do not correlate with periodic functions",
  "authors": [
    "Raphael S. Steiner"
  ],
  "comment": "24 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We provide uniform bounds for sums of Kloosterman sums in all arithmetic progressions. As a consequence, we find that Kloosterman sums do not correlate with periodic functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-02-13T14:46:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11L05",
      "11F72",
      "11T23"
    ],
    "keywords": [
      "kloosterman sums",
      "periodic functions",
      "uniform bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}