{
  "id": "2109.10130",
  "version": "v1",
  "published": "2021-09-21T12:26:15.000Z",
  "updated": "2021-09-21T12:26:15.000Z",
  "title": "On binomials and explicit form of algebraic closure of some pseudofinite fields",
  "authors": [
    "Jakub Gismatullin",
    "Katarzyna Tarasek"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We give a criterion when a polynomial $x^n-g$ is irreducible over a pseudofinite field. As an application we give an explicit description of some pseudofinite fields of zero characteristic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-09-21T12:26:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12L10",
      "12F05",
      "03C20"
    ],
    "keywords": [
      "pseudofinite field",
      "algebraic closure",
      "explicit form",
      "explicit description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}