NDLI: Schwarzian differential equations and Hecke eigenforms on Shimura curves

Content Provider	Scilit
Author	Yang, Yifan
Copyright Year	2012
Description	Journal: Compositio Mathematica Let 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.
Ending Page	31
Starting Page	1
ISSN	00221295
e-ISSN	15705846
DOI	10.1112/s0010437x12000371
Journal	Compositio Mathematica
Issue Number	1
Volume Number	149
Language	English
Publisher	Wiley-Blackwell
Publisher Date	2013-01-01
Access Restriction	Open
Subject Keyword	Journal: Compositio Mathematica Differential Equation Number Theory Hecke Operator Automorphic Form
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory

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Schwarzian differential equations and Hecke eigenforms on Shimura curves