{
  "id": "1112.1001",
  "version": "v1",
  "published": "2011-12-05T17:05:44.000Z",
  "updated": "2011-12-05T17:05:44.000Z",
  "title": "Algebraic transformations of hypergeometric functions and automorphic forms on Shimura curves",
  "authors": [
    "Fang-Ting Tu",
    "Yifan Yang"
  ],
  "comment": "31 pages",
  "categories": [
    "math.NT",
    "math.CA"
  ],
  "abstract": "In this paper, we will obtain new algebraic transformations of the $_2F_1$-hypergeometric functions. The main novelty in our approach is the interpretation of identities among $_2F_1$-hypergeometric functions as identities among automorphic forms on different Shimura curves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-12-05T17:05:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F12",
      "11G18",
      "33C05"
    ],
    "keywords": [
      "hypergeometric functions",
      "automorphic forms",
      "algebraic transformations",
      "shimura curves"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.1001T"
    }
  }
}