{
  "id": "1708.04122",
  "version": "v1",
  "published": "2017-08-14T14:04:09.000Z",
  "updated": "2017-08-14T14:04:09.000Z",
  "title": "Fourier optimization and prime gaps",
  "authors": [
    "Emanuel Carneiro",
    "Micah B. Milinovich",
    "Kannan Soundararajan"
  ],
  "comment": "29 pages",
  "categories": [
    "math.NT",
    "math.CA"
  ],
  "abstract": "We investigate some extremal problems in Fourier analysis and their connection to a problem in prime number theory. In particular, we improve the current bounds for the largest possible gap between consecutive primes assuming the Riemann hypothesis.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-14T14:04:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "41A30",
      "11M06",
      "11M26",
      "11N05"
    ],
    "keywords": [
      "prime gaps",
      "fourier optimization",
      "prime number theory",
      "fourier analysis",
      "extremal problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}