{
  "id": "1403.8129",
  "version": "v1",
  "published": "2014-03-31T19:04:04.000Z",
  "updated": "2014-03-31T19:04:04.000Z",
  "title": "On Wiener norm of subsets of Z_p of medium size",
  "authors": [
    "Sergei V. Konyagin",
    "Ilya D. Shkredov"
  ],
  "comment": "15 pages",
  "categories": [
    "math.CA",
    "math.CO",
    "math.NT"
  ],
  "abstract": "We give a lower bound for Wiener norm of characteristic function of subsets A from Z_p, p is a prime number, in the situation when exp((log p/log log p)^{1/3}) \\le |A| \\le p/3.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-03-31T19:04:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "wiener norm",
      "medium size",
      "log p/log log",
      "lower bound",
      "prime number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1403.8129K"
    }
  }
}