{
  "id": "2505.03224",
  "version": "v1",
  "published": "2025-05-06T06:30:45.000Z",
  "updated": "2025-05-06T06:30:45.000Z",
  "title": "Analytic continuation of Kochubei multiple polylogarithms and its applications",
  "authors": [
    "Yen-Tsung Chen"
  ],
  "comment": "25 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In the present paper, we propose an analytic continuation of Kochubei multiple polylogarithms using the techniques developed by Furusho. Moreover, we produce a family of linear relations and a linear independence result for values of our analytically continued Kochubei polylogarithms at algebraic elements from a cohomological aspect.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-05-06T06:30:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G09",
      "11R58",
      "33E50"
    ],
    "keywords": [
      "kochubei multiple polylogarithms",
      "analytic continuation",
      "applications",
      "linear independence result",
      "algebraic elements"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}