Algebraic transformations of hypergeometric functions and automorphic forms on Shimura curves
Number Theory
2011-12-06 v1 Classical Analysis and ODEs
Abstract
In this paper, we will obtain new algebraic transformations of the -hypergeometric functions. The main novelty in our approach is the interpretation of identities among -hypergeometric functions as identities among automorphic forms on different Shimura curves.
Keywords
Cite
@article{arxiv.1112.1001,
title = {Algebraic transformations of hypergeometric functions and automorphic forms on Shimura curves},
author = {Fang-Ting Tu and Yifan Yang},
journal= {arXiv preprint arXiv:1112.1001},
year = {2011}
}
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31 pages