{
  "id": "1606.03495",
  "version": "v1",
  "published": "2016-06-10T22:24:04.000Z",
  "updated": "2016-06-10T22:24:04.000Z",
  "title": "On exponential sums over orbits in $\\mathbb{F}_p^d$",
  "authors": [
    "Sarah Peluse"
  ],
  "comment": "13 pages",
  "categories": [
    "math.NT",
    "math.CO",
    "math.GR"
  ],
  "abstract": "This paper proves a bound for exponential sums over orbits of vectors in $\\mathbb{F}_p^d$ under subgroups of $\\rm{GL}_d(\\mathbb{F}_p)$. The main tool is a classification theorem for approximate groups due to Gill, Helfgott, Pyber, and Szab\\'o.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-10T22:24:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11L07"
    ],
    "keywords": [
      "exponential sums",
      "main tool",
      "classification theorem",
      "approximate groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}