{
  "id": "1202.5630",
  "version": "v1",
  "published": "2012-02-25T08:40:56.000Z",
  "updated": "2012-02-25T08:40:56.000Z",
  "title": "Transformations of $L$-values",
  "authors": [
    "Wadim Zudilin"
  ],
  "comment": "6 pages",
  "journal": "RIMS K\\^oky\\^uroku no. 1806 (2012), 16--21",
  "categories": [
    "math.NT",
    "math.AG",
    "math.CA",
    "math.KT"
  ],
  "abstract": "In our recent work with Mat Rogers on resolving some Boyd's conjectures on two-variate Mahler measures, a new analytical machinery was introduced to write the values $L(E,2)$ of $L$-series of elliptic curves as periods in the sense of Kontsevich and Zagier. Here we outline, in slightly more general settings, the novelty of our method with Rogers, and provide a simple illustrative example.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-25T08:40:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F67",
      "11F03",
      "11R06",
      "14H52",
      "19F27",
      "33E05"
    ],
    "keywords": [
      "transformations",
      "two-variate mahler measures",
      "boyds conjectures",
      "mat rogers",
      "elliptic curves"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.5630Z"
    }
  }
}