The distribution of Manin's iterated integrals of modular forms

Published 21 Apr 2022 in math.NT | (2204.10343v3)

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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