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arXiv · 1112.1001

Algebraic transformations of hypergeometric functions and automorphic forms on Shimura curves

Fang-Ting Tu·Yifan Yang
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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.

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Fang-Ting Tu, Yifan Yang. 2011-12-05. Algebraic transformations of hypergeometric functions and automorphic forms on Shimura curves. https://arxiv.org/abs/1112.1001

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