標題: | ALGEBRAIC TRANSFORMATIONS OF HYPERGEOMETRIC FUNCTIONS AND AUTOMORPHIC FORMS ON SHIMURA CURVES |
作者: | Tu, Fang-Ting Yang, Yifan 應用數學系 Department of Applied Mathematics |
公開日期: | 1-十二月-2013 |
摘要: | 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. |
URI: | http://dx.doi.org/10.1090/S0002-9947-2013-05960-0 http://hdl.handle.net/11536/23247 |
ISSN: | 0002-9947 |
DOI: | 10.1090/S0002-9947-2013-05960-0 |
期刊: | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY |
Volume: | 365 |
Issue: | 12 |
起始頁: | 6697 |
結束頁: | 6729 |
顯示於類別: | 期刊論文 |