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arXiv:1112.1001 [math.NT]AbstractReferencesReviewsResources

Algebraic transformations of hypergeometric functions and automorphic forms on Shimura curves

Fang-Ting Tu, Yifan Yang

Published 2011-12-05Version 1

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.

Comments: 31 pages
Categories: math.NT, math.CA
Subjects: 11F12, 11G18, 33C05
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