Modular iterated integrals associated with cusp forms
Number Theory
2020-09-16 v1
Abstract
We construct an explicit family of modular iterated integrals which involves cusp forms. This leads to a new method of producing "invariant versions" of iterated integrals of modular forms. The construction will be based on an extension of higher-order modular forms which, in contrast to the standard higher-order forms, applies to general Fuchsian groups of the first kind and, as such, is of independent interest.
Cite
@article{arxiv.2009.07128,
title = {Modular iterated integrals associated with cusp forms},
author = {Nikolaos Diamantis},
journal= {arXiv preprint arXiv:2009.07128},
year = {2020}
}