{
  "id": "1807.09070",
  "version": "v1",
  "published": "2018-07-24T12:40:29.000Z",
  "updated": "2018-07-24T12:40:29.000Z",
  "title": "Remarks on the transcendence of certain infinite products",
  "authors": [
    "Eiji Miyanohara"
  ],
  "comment": "12pages",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "Taciya, Amou-V\\\"a\\\"an\\\"anenn investigated the transcendence of certain infinite products by using Mahler method and inductive method (introduced by Duverney). They assume technical conditions which are related the coefficients of certain infinite products and the condition of polynomial's degree, which is bounded. In this article, we improve their conditions on the certain polynomial infinite products of rational coefficients by using the method developed by Bell-Bugeaud-Coons and increase hidden infinite copy structure related the infinite products.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-24T12:40:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "transcendence",
      "increase hidden infinite copy structure",
      "polynomial infinite products",
      "rational coefficients",
      "polynomials degree"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}