{
  "id": "2409.18229",
  "version": "v1",
  "published": "2024-09-26T19:18:44.000Z",
  "updated": "2024-09-26T19:18:44.000Z",
  "title": "Some results about entropy and divergence in number theory",
  "authors": [
    "Daniel C. Mayer",
    "Nicusor Minculete",
    "Diana Savin",
    "Vlad Monescu"
  ],
  "comment": "16 pages, 1 figure. Key words and phrases. entropy, divergence, numbers, ideals, ramification theory in algebraic number fields",
  "categories": [
    "math.NT",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this article we obtain certain inequalities involving the entropy of a positive integer and divergence of two positive integers, respectively the entropy of an ideal and divergence of two ideals of a ring of algebraic integers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-26T19:18:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28D20",
      "11A51",
      "11A25",
      "11S15",
      "47B06",
      "94A17"
    ],
    "keywords": [
      "number theory",
      "divergence",
      "positive integer"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}