Eichler -- Shimura -- Manin Theory
Dalʹnevostočnyj matematičeskij žurnal, Tome 9 (2009) no. 1, pp. 29-37

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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.
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     title = {Eichler -- {Shimura} -- {Manin} {Theory}},
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V. A. Bykovskii. Eichler -- Shimura -- Manin Theory. Dalʹnevostočnyj matematičeskij žurnal, Tome 9 (2009) no. 1, pp. 29-37. http://geodesic.mathdoc.fr/item/DVMG_2009_9_1_a3/