{
  "id": "2406.10604",
  "version": "v1",
  "published": "2024-06-15T11:43:54.000Z",
  "updated": "2024-06-15T11:43:54.000Z",
  "title": "Some remarks on the order structures of multi-polylogarithms",
  "authors": [
    "Ken Kamano"
  ],
  "comment": "11 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We consider multi-polylogarithm functions which are slightly different from the ordinary ones. These functions have two integral representations and an order structure similar to those of multiple zeta star values. We also give a necessary and sufficient condition for the set of values of our multi-polylogarithm functions to be a dense set.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-15T11:43:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multiple zeta star values",
      "multi-polylogarithm functions",
      "order structure similar",
      "sufficient condition",
      "integral representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}