{
  "id": "1803.02467",
  "version": "v1",
  "published": "2018-03-06T23:11:52.000Z",
  "updated": "2018-03-06T23:11:52.000Z",
  "title": "A q-analogue for Euler's $ζ(2k)=\\dfrac{(-1)^{k+1}2^{2k}B_{2k}π^{2k}}{2(2k)!}$",
  "authors": [
    "Ankush Goswami"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We give a $q$-analogue of Euler's formula for $\\zeta(2k)$ for $k\\in\\mathbb{Z}^+$. Our main results are stated in Theorems 3.1 and 3.2 below.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-03-06T23:11:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "q-analogue",
      "eulers formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}