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Iterated integrals of modular forms and noncommutative modular symbols

Yu. I. Manin
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Abstract

The main goal of this paper is to study properties of the iterated integrals of modular forms in the upper halfplane, eventually multiplied by $z^{s-1}$, along geodesics connecting two cusps. This setting generalizes simultaneously the theory of modular symbols and that of multiple zeta values

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Yu. I. Manin. 2005-02-28. Iterated integrals of modular forms and noncommutative modular symbols. https://arxiv.org/abs/math/0502576

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