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Iterated Shimura integrals

Yu. I. Manin
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Abstract

In this paper I continue the study of iterated integrals of modular forms and noncommutative modular symbols for $Γ\subset SL(2,\bold{Z})$ started in [Ma3]. Main new results involve a description of the iterated Shimura cohomology and the image of the iterated Shimura cocycle class inside it. The concluding section of the paper contains a concise review of the classical modular symbols for SL(2) and a discussion of open problems.

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Yu. I. Manin. 2005-07-21. Iterated Shimura integrals. https://arxiv.org/abs/math/0507438

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