{
  "id": "2103.09485",
  "version": "v1",
  "published": "2021-03-17T07:42:46.000Z",
  "updated": "2021-03-17T07:42:46.000Z",
  "title": "Algebraic relations among hyperderivatives of periods and logarithms of Drinfeld modules",
  "authors": [
    "Changningphaabi Namoijam"
  ],
  "comment": "50 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "For a Drinfeld module $\\rho$ defined over a separable closure of the rational function field, we determine all algebraic relations among its periods, quasi-periods, logarithms and quasi-logarithms. In particular, for periods and logarithms of $\\rho$ that are linearly independent over the endomorphism ring of $\\rho$, we prove the algebraic independence of their hyperderivatives and the hyperderivatives of the corresponding quasi-periods and quasi-logarithms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-17T07:42:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J93",
      "11G09"
    ],
    "keywords": [
      "drinfeld module",
      "algebraic relations",
      "hyperderivatives",
      "rational function field",
      "quasi-periods"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 50,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}