Laplace-eigenvalue equations for length three modular iterated integrals
Number Theory
2021-11-18 v2
Abstract
A space of modular iterated integrals sits inside the space of real analytic modular forms. We present a theorem for producing length three modular iterated integrals which are not simply combinations of real analytic Eisenstein series; each function has an associated Laplace-eigenvalue equation. This can be viewed as an extension of the length two case recently given by F. Brown, a review of which is included in this paper. We discuss how modular iterated integrals could help understand the modular graph functions which arise in string perturbation theory.
Cite
@article{arxiv.2104.09916,
title = {Laplace-eigenvalue equations for length three modular iterated integrals},
author = {Joshua Drewitt},
journal= {arXiv preprint arXiv:2104.09916},
year = {2021}
}