Schwarzian differential equations and Hecke eigenforms on Shimura curves
Keyword(s):
AbstractLet X be a Shimura curve of genus zero. In this paper, we first characterize the spaces of automorphic forms on X in terms of Schwarzian differential equations. We then devise a method to compute Hecke operators on these spaces. An interesting by-product of our analysis is the evaluation and other similar identities.
2014 ◽
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1984 ◽
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