CONSTRUCTING MODULAR FORMS FROM HARMONIC MAASS JACOBI FORMS

We construct a family of modular forms from harmonic Maass Jacobi forms by considering their Taylor expansion and using the method of holomorphic projection. As an application we present a certain type Hurwitz class relations which can be viewed as a generalization of Mertens' result in M. H. Mertens (2016).

Automated summary

A family of modular forms was constructed from harmonic Maass Jacobi forms by examining their Taylor expansion and employing the method of holomorphic projection. As an application, a particular type of Hurwitz class relations was presented, which can be seen as a generalization of Mertens' result.