{
  "id": "2203.13644",
  "version": "v1",
  "published": "2022-03-25T13:36:17.000Z",
  "updated": "2022-03-25T13:36:17.000Z",
  "title": "A non-archimedean variant of Littlewood--Paley theory for curves",
  "authors": [
    "Jonathan Hickman",
    "James Wright"
  ],
  "comment": "16 pages",
  "categories": [
    "math.CA",
    "math.NT"
  ],
  "abstract": "We prove a variant of a square function estimate for the extension operator associated to the moment curve in non-archimedean local fields. The arguments rely on a structural analysis of congruences (sublevel sets) of univariate polynomials over field extensions of the base field. Our analysis can be adapted to the archimedean setting as well.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-25T13:36:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B25",
      "11A07"
    ],
    "keywords": [
      "littlewood-paley theory",
      "non-archimedean variant",
      "non-archimedean local fields",
      "square function estimate",
      "structural analysis"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}