Eichler – Shimura – Manin Theory

V. A. Bykovskii

Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences

Abstract: We study the category of moduli with right action of $PSL_2(\mathbb Z)$. Analogues of modular forms (Eichler – Shimura moduli) including the theory of Hecke operators are constructed for this category.

Key words: automorphic functions, modular symbols, Eichler – Shimura relations.

UDC: 511.384

MSC: 11F67

Received: 15.05.2009

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