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arXiv · 2204.10343

The distribution of Manin's iterated integrals of modular forms

Nils Matthes·Morten S. Risager
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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.

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Nils Matthes, Morten S. Risager. 2022-04-21. The distribution of Manin's iterated integrals of modular forms. https://arxiv.org/abs/2204.10343

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