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arxiv: math/0502576 · v1 · submitted 2005-02-28 · 🧮 math.NT · math.AG

Iterated integrals of modular forms and noncommutative modular symbols

classification 🧮 math.NT math.AG
keywords modularformsintegralsiteratedsymbolsalongconnectingcusps
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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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