{
  "id": "2210.13033",
  "version": "v1",
  "published": "2022-10-24T08:33:36.000Z",
  "updated": "2022-10-24T08:33:36.000Z",
  "title": "Functional equation for the Mordell-Tornheim multiple $L$-function",
  "authors": [
    "Yuichiro Toma"
  ],
  "comment": "8pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we consider the $\\chi$-analogue of the functional equation for the Mordell-Tornheim multiple zeta-function. We prove it by applying the Mellin-Barnes integral formula.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-24T08:33:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M32",
      "11M06"
    ],
    "keywords": [
      "functional equation",
      "mellin-barnes integral formula",
      "mordell-tornheim multiple zeta-function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}