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Modular Forms For Noncongruence Subgroups
(Z) has been oneof the central topics in number theory for over one century. It has broad applica-tions and impact to many branches of mathematics. Langlands’ program is a vastgeneralization of this subject from representation-theoretic point of view. Themost recent highlight is the proof of the Taniyama-Shimura-Weil modularity con-jecture by …