{
  "id": "1103.4298",
  "version": "v1",
  "published": "2011-03-22T16:28:04.000Z",
  "updated": "2011-03-22T16:28:04.000Z",
  "title": "Special Values of Generalized Log-sine Integrals",
  "authors": [
    "Jonathan M. Borwein",
    "Armin Straub"
  ],
  "comment": "8 pages, to be published in the proceedings of ISSAC 2011",
  "categories": [
    "math.CA",
    "cs.SC",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study generalized log-sine integrals at special values. At $\\pi$ and multiples thereof explicit evaluations are obtained in terms of Nielsen polylogarithms at $\\pm1$. For general arguments we present algorithmic evaluations involving Nielsen polylogarithms at related arguments. In particular, we consider log-sine integrals at $\\pi/3$ which evaluate in terms of polylogarithms at the sixth root of unity. An implementation of our results for the computer algebra systems Mathematica and SAGE is provided.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-03-22T16:28:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "special values",
      "computer algebra systems mathematica",
      "multiples thereof explicit evaluations",
      "nielsen polylogarithms",
      "study generalized log-sine integrals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 893732,
      "adsabs": "2011arXiv1103.4298B"
    }
  }
}