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Iterated Shimura integrals

Number Theory 2007-05-23 v1 Algebraic Geometry

Abstract

In this paper I continue the study of iterated integrals of modular forms and noncommutative modular symbols for ΓSL(2,Z)\Gamma \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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Cite

@article{arxiv.math/0507438,
  title  = {Iterated Shimura integrals},
  author = {Yu. I. Manin},
  journal= {arXiv preprint arXiv:math/0507438},
  year   = {2007}
}

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16 pages