The distribution of Manin's iterated integrals of modular forms

Nils Matthes, Morten S. Risager*

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

We determine the asymptotic distribution of Manin's iterated integrals of length at most 2. For all lengths, we compute all the asymptotic moments. We show that if the length is at least 3, these moments do in general not determine a unique distribution.

Original languageEnglish
JournalJournal fur die Reine und Angewandte Mathematik
Volume2024
Issue number812
Pages (from-to)125-161
ISSN0075-4102
DOIs
Publication statusPublished - 2024

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© 2024 Walter de Gruyter GmbH, Berlin/Boston 2024.

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