{
  "id": "2107.13674",
  "version": "v1",
  "published": "2021-07-29T00:05:03.000Z",
  "updated": "2021-07-29T00:05:03.000Z",
  "title": "Bounds on the Norms of Maximal Operators on Weyl Sums",
  "authors": [
    "Roger C. Baker",
    "Changhao Chen",
    "Igor E. Shparlinski"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We obtain new estimates on the maximal operator applied to the Weyl sums. We also consider the quadratic case (that is, Gauss sums) in more details. In wide ranges of parameters our estimates are optimal and match lower bounds. Our approach is based on a combination of ideas of Baker (2021) and Chen and Shparlinski (2020).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-29T00:05:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weyl sums",
      "maximal operator",
      "match lower bounds",
      "quadratic case",
      "wide ranges"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}