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Iterated integrals of modular forms and noncommutative modular symbols

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arxiv math/0502576 v1 pith:QZHILYTG submitted 2005-02-28 math.NT math.AG

Yu. I. Manin This is my paper · ORCID
classification math.NTmath.AG
keywords modularformsintegralsiteratedsymbolsalongconnectingcusps
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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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Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Two-loop form factors for $P$-wave quarkonium production and decay

    hep-ph 2025-01 conditional novelty 8.0 of 10

    Analytic two-loop form factors for chi_{Q,J} production and decay are presented, including a new NRQCD singularity that couples P-wave states to the 3S1[8] configuration.

  2. IterInt: Evaluating iterated integrals via differential equations

    hep-ph 2026-06 unverdicted novelty 5.0 of 10

    IterInt package evaluates iterated integrals by transforming them into solvable differential equation systems with built-in regularization.

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