Algebraic transformations of hypergeometric functions and automorphic forms on Shimura curves

Details Algebraic transformations of hypergeometric functions and automorphic forms on Shimura curves Algebraic transformations of hypergeometric functions and automorphic forms on Shimura curves

2011-12-05

arxiv.org/abs/1112.1001v1

Mathematics

Number Theory

31 pages

Scientific paper

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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