{
  "id": "2111.06072",
  "version": "v2",
  "published": "2021-11-11T06:37:11.000Z",
  "updated": "2021-12-02T05:24:12.000Z",
  "title": "Asymptotic behavior of the Hurwitz-Lerch multiple zeta function at non-positive integer points",
  "authors": [
    "Hideki Murahara",
    "Tomokazu Onozuka"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We give a result on the asymptotic behavior of the Hurwitz-Lerch multiple zeta functions near non-positive integer points by using the Apostol-Bernoulli polynomials. From this result, we can evaluate limit values at non-positive integer points.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2021-12-02T05:24:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M32"
    ],
    "keywords": [
      "hurwitz-lerch multiple zeta function",
      "non-positive integer points",
      "asymptotic behavior",
      "evaluate limit values",
      "apostol-bernoulli polynomials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}