{
  "id": "1609.06097",
  "version": "v1",
  "published": "2016-09-20T11:11:05.000Z",
  "updated": "2016-09-20T11:11:05.000Z",
  "title": "Twisted Linnik implies optimal covering exponent for $S^3$",
  "authors": [
    "T. D. Browning",
    "V. Vinay Kumaraswamy",
    "R. S. Steiner"
  ],
  "comment": "22 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We show that a twisted variant of Linnik's conjecture on sums of Kloosterman sums leads to an optimal covering exponent for $S^3$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-20T11:11:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11E25",
      "11D09",
      "11P55",
      "81P68"
    ],
    "keywords": [
      "linnik implies optimal covering exponent",
      "twisted linnik implies optimal covering",
      "linniks conjecture",
      "kloosterman sums",
      "twisted variant"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}