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Moscow Mathematical Journal, 2005, Volume 5, Number 4, Pages 869–881
DOI: https://doi.org/10.17323/1609-4514-2005-5-4-869-881 (Mi mmj226) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Iterated Shimura integrals

Yu. I. Manin

Max Planck Institute for Mathematics
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DOI: https://doi.org/10.17323/1609-4514-2005-5-4-869-881
Abstract: In this paper, I continue the study of iterated integrals of modular forms and noncommutative modular symbols for $\Gamma\subset{\rm SL}(2,\mathbb Z)$ started in my paper math.NT/0502576. The 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 ${\rm SL}(2)$ and a discussion of open problems.
Key words and phrases: Iterated integrals, modular forms, modular symbols, multiple zeta values.
Received: September 7, 2005
Bibliographic databases:
Document Type: Article
MSC: Primary 11F67, 11M41; Secondary 11G55
Language: English
Citation: Yu. I. Manin, “Iterated Shimura integrals”, Mosc. Math. J., 5:4 (2005), 869–881
Citation in format AMSBIB
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\by Yu.~I.~Manin
\paper Iterated Shimura integrals
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\vol 5
\issue 4
\pages 869--881
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\zmath{https://zbmath.org/?q=an:05182616}
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    • This publication is cited in the following 16 articles:
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