{
  "id": "1205.2768",
  "version": "v1",
  "published": "2012-05-12T11:18:00.000Z",
  "updated": "2012-05-12T11:18:00.000Z",
  "title": "Analytic continuation of multiple zeta-functions and the asymptotic behavior at non-positive integers",
  "authors": [
    "Tomokazu Onozuka"
  ],
  "comment": "15 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove two theorems. Theorem 1 gives the meromorphic continuation of the multiple zeta function to the whole space. In Theorem 2, we prove asymptotic behavior near the non-positive integers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-05-12T11:18:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M41",
      "32Dxx"
    ],
    "keywords": [
      "asymptotic behavior",
      "non-positive integers",
      "multiple zeta-functions",
      "analytic continuation",
      "multiple zeta function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.2768O"
    }
  }
}