The distribution of Manin's iterated integrals of modular forms
arXiv:2204.10343
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.
32 pages, 6 figures. v3 Introduction rewritten. v2 Added unconditional result on the distribution function for orthonormal forms