Affiliation:
1. School of Mathematical Sciences , University of Nottingham , Nottingham , NG7 2RD , United Kingdom
Abstract
Abstract
We construct an explicit family of modular iterated integrals which involves cusp forms. This leads to a new method of producing modular invariant functions based on 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.
Subject
Applied Mathematics,General Mathematics
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