{
  "id": "1905.00343",
  "version": "v1",
  "published": "2019-05-01T15:12:31.000Z",
  "updated": "2019-05-01T15:12:31.000Z",
  "title": "Approximation simultanée des valeurs de la fonction exponentielle dans les adèles",
  "authors": [
    "Damien Roy"
  ],
  "comment": "33 pages, in French. 1 figure, English translation available soon",
  "categories": [
    "math.NT"
  ],
  "abstract": "We show that Hermite's approximations to values of the exponential function at given algebraic numbers are nearly optimal when considered from an adelic perspective. We achieve this by taking into account the ratio of these values whenever they make sense in the various completions (Archimedean or $p$-adic) of a number field containing these algebraic numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-01T15:12:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J13",
      "11J61",
      "11J82",
      "11H06"
    ],
    "keywords": [
      "fonction exponentielle dans",
      "approximation simultanée",
      "algebraic numbers",
      "exponential function",
      "hermites approximations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "fr",
      "license": "arXiv",
      "status": "editable"
    }
  }
}