{
  "id": "1704.01762",
  "version": "v1",
  "published": "2017-04-06T09:49:00.000Z",
  "updated": "2017-04-06T09:49:00.000Z",
  "title": "On a result of Fel'dman on linear forms in the values of some E-functions",
  "authors": [
    "Keijo Väänänen"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We shall consider a result of Fel'dman, where a sharp Baker-type lower bound is obtained for linear forms in the values of some E-functions. Fel'dman's proof is based on an explicit construction of Pad\\'e approximations of the first kind for these functions. In the present paper we introduce Pad\\'e approximations of the second kind for the same functions and use these to obtain a slightly improved version of Fel'dman's result.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-06T09:49:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J13",
      "11J72"
    ],
    "keywords": [
      "linear forms",
      "e-functions",
      "sharp baker-type lower bound",
      "pade approximations",
      "first kind"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}