{
  "id": "0711.0085",
  "version": "v1",
  "published": "2007-11-01T08:06:37.000Z",
  "updated": "2007-11-01T08:06:37.000Z",
  "title": "Twisted p-adic (h,q)-L-functions",
  "authors": [
    "Yilmaz Simsek"
  ],
  "comment": "13 pages",
  "categories": [
    "math.NT",
    "math.GM"
  ],
  "abstract": "By using q-Volkenborn integral on Z_{p}, we (simsek, simsekCanada) constructed new generating functions of the (h,q)-Bernoulli polynomials and numbers. By applying the Mellin transformation to the generating functions, we constructed integral representation of the twisted (h,q)-Hurwitz function and twisted (h,q)-two-variable L-function. By using these functions, we construct twisted new (h,q)-partial zeta function which interpolates the twisted (h,q)-Bernoulli polynomials and generalized twisted (h,q)-Bernoulli numbers at negative integers. We give relation between twisted (h,q)-partial zeta functions and twisted (h,q)-two-variable L-function. We find the value of this function at s=0. We also find residue of this function at s=1. We construct p-adic twisted (h,q)-L-function, which interpolates the twisted (h,q)-Bernoulli polynomials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-11-01T08:06:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B68",
      "11S40",
      "11S80",
      "11M99",
      "30B50",
      "44A05"
    ],
    "keywords": [
      "twisted p-adic",
      "zeta function",
      "generating functions",
      "polynomials",
      "construct p-adic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0711.0085S"
    }
  }
}