{
  "id": "2212.03418",
  "version": "v1",
  "published": "2022-12-07T03:05:07.000Z",
  "updated": "2022-12-07T03:05:07.000Z",
  "title": "Generalized Lindemann-Weierstrass and Gelfond-Schneider-Baker Theorems",
  "authors": [
    "Suk-Geun Hwang",
    "Choon Ho Lee",
    "Ki-Bong Nam Rachel M Chaphalkar"
  ],
  "comment": "6 pages. arXiv admin note: text overlap with arXiv:2106.04055",
  "categories": [
    "math.NT"
  ],
  "abstract": "We generalize Lindemann-Weierstrass theorem and Gelfond -Schneider-Baker Theorem. We find new transcendental numbers in this work. There are several methods to find transcendental numbers in the work. Recently transcendental numbers are applicable for cryptography (\\cite{G}, \\cite{K}, \\cite{V}). Since we are able to make many tables of random numbers, the new transcendental numbers will be applicable for encryption and decryption in this work (\\cite{V}, \\cite{Z}).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-07T03:05:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J81",
      "11J85"
    ],
    "keywords": [
      "gelfond-schneider-baker theorems",
      "transcendental numbers",
      "generalized lindemann-weierstrass",
      "generalize lindemann-weierstrass theorem",
      "random numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}