ALGEBRAIC TRANSFORMATIONS OF HYPERGEOMETRIC FUNCTIONS AND AUTOMORPHIC FORMS ON SHIMURA CURVES

Title:	ALGEBRAIC TRANSFORMATIONS OF HYPERGEOMETRIC FUNCTIONS AND AUTOMORPHIC FORMS ON SHIMURA CURVES
Authors:	Tu, Fang-Ting Yang, Yifan 應用數學系 Department of Applied Mathematics
Issue Date:	1-Dec-2013
Abstract:	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
Journal:	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume:	365
Issue:	12
Begin Page:	6697
End Page:	6729
Appears in Collections:	Articles

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