ALGEBRAIC TRANSFORMATIONS OF HYPERGEOMETRIC FUNCTIONS AND AUTOMORPHIC FORMS ON SHIMURA CURVES

作者：Tu Fang Ting^*; Yang Yifan

来源：Transactions of the American Mathematical Society, 2013, 365(12): 6697-6729.

In this paper, we will obtain new algebraic transformations of the F-2(1)-hypergeometric functions. The main novelty in our approach is the interpretation of identities among F-2(1)-hypergeometric functions as identities among automorphic forms on different Shimura curves.

• 出版日期2013-12