{
  "id": "2305.14031",
  "version": "v1",
  "published": "2023-05-23T13:04:06.000Z",
  "updated": "2023-05-23T13:04:06.000Z",
  "title": "Generating functions of multiple $t$-star values of general level",
  "authors": [
    "Zhonghua Li",
    "Lu Yan"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:2212.09070",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we study the explicit expressions of multiple $t$-star values of general level. We represent the generating functions of multiple $t$-star values of level $N$ with an arbitrary number of blocks of twos, which generalize the results for multiple zeta-star values and multiple $t$-star values. These generating functions can provide a formula of multiple $t$-star values of level $N$. As applications, some evaluations of multiple $t$-star values of level $N$ with one-two-three or more general indices are given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-23T13:04:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M32",
      "05A15"
    ],
    "keywords": [
      "generating functions",
      "general level",
      "multiple zeta-star values",
      "explicit expressions",
      "arbitrary number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}