{
  "id": "1702.08507",
  "version": "v1",
  "published": "2017-02-19T12:47:03.000Z",
  "updated": "2017-02-19T12:47:03.000Z",
  "title": "On q-analogues of quadratic Euler sums",
  "authors": [
    "Zhonghua Li",
    "Ce Xu"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper we define the generalized q-analogues of Euler sums and present a new family of identities for q-analogues of Euler sums by using the method of Jackson q-integral rep- resentations of series. We then apply it to obtain a family of identities relating quadratic Euler sums to linear sums and q-polylogarithms. Furthermore, we also use certain stuffle products to evaluate several q-series with q-harmonic numbers. Some interesting new results and illustrative examples are considered. Finally, we can obtain some explicit relations for the classical Euler sums when q approaches to 1.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-19T12:47:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "q-analogues",
      "identities relating quadratic euler sums",
      "linear sums",
      "classical euler sums",
      "jackson q-integral"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}