{
  "id": "1409.7924",
  "version": "v1",
  "published": "2014-09-28T15:44:32.000Z",
  "updated": "2014-09-28T15:44:32.000Z",
  "title": "Character sums over Bohr sets",
  "authors": [
    "Brandon Hanson"
  ],
  "comment": "15 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove character sum estimates for additive Bohr subsets modulo a prime. These estimates are analogous to classical character sum bounds of Polya-Vinogradov and Burgess. These estimates are applied to obtain results on recurrence mod $p$ by special elements.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-28T15:44:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11L40",
      "11T24",
      "11T23"
    ],
    "keywords": [
      "bohr sets",
      "character sum estimates",
      "classical character sum bounds",
      "additive bohr subsets modulo",
      "special elements"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.7924H"
    }
  }
}