{
  "id": "2004.00332",
  "version": "v1",
  "published": "2020-04-01T10:46:02.000Z",
  "updated": "2020-04-01T10:46:02.000Z",
  "title": "Multiple Lucas Dirichlet series associated to additive and Dirichlet characters",
  "authors": [
    "Nabin Kumar Meher",
    "Sudhansu Sekhar Rout"
  ],
  "comment": "20 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this article, we obtain the analytic continuation of the multiple shifted Lucas zeta function, multiple Lucas $L$-function associated to Dirichlet characters and additive characters. We then compute a complete list of exact singularities and residues of these functions at these poles. Further, we show the rationality of the multiple Lucas $L$-functions associated with quadratic characters at negative integer arguments.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-01T10:46:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M99",
      "11B39",
      "30D30"
    ],
    "keywords": [
      "multiple lucas dirichlet series",
      "dirichlet characters",
      "multiple shifted lucas zeta function",
      "analytic continuation",
      "integer arguments"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}