{
  "id": "2503.23286",
  "version": "v2",
  "published": "2025-03-30T02:52:14.000Z",
  "updated": "2025-06-20T03:26:07.000Z",
  "title": "Diophantine approximation of multiple zeta-star values",
  "authors": [
    "Jiangtao Li"
  ],
  "comment": "Any comments are welcome",
  "categories": [
    "math.NT",
    "math.CA"
  ],
  "abstract": "The set of multiple zeta-star values is a countable dense subset of the half line $(1,+\\infty)$. In this paper, we establish some classical Diophantine type results for the set of multiple zeta-star values. Firstly, we give a criterion to determine whether a number is a multiple zeta-star value. Secondly, we establish the zero-one law for the set of multiple zeta-star value. Lastly, we propose a conjecture for the set of multiple zeta-star values, which strengthens the original zero-one law.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2025-06-20T03:26:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multiple zeta-star value",
      "diophantine approximation",
      "original zero-one law",
      "classical diophantine type results",
      "half line"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}