{
  "id": "2007.10447",
  "version": "v1",
  "published": "2020-07-20T20:14:57.000Z",
  "updated": "2020-07-20T20:14:57.000Z",
  "title": "On $q$-analogs of zeta functions associated with a pair of $q$-analogs of Bernoulli numbers and polynomials",
  "authors": [
    "Ahmad El-Guindy",
    "Zeinab Mansour"
  ],
  "comment": "24 pages, 2 figures",
  "categories": [
    "math.CA",
    "math.NT"
  ],
  "abstract": "In this paper, we use two different approaches to introduce $q$-analogs of Riemann's zeta function and prove that their values at even integers are related to the $q$-Bernoulli and $q$ Euler's numbers introduced by Ismail and Mansour [Analysis and Applications, {\\bf{17}}, 6, 2019, 853--895].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-20T20:14:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B68",
      "33E99"
    ],
    "keywords": [
      "bernoulli numbers",
      "polynomials",
      "riemanns zeta function",
      "eulers numbers",
      "approaches"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}