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Keywords:
modular form; harmonic Maass Jacobi form; holomorphic projection; Hurwitz class number
modular form; harmonic Maass Jacobi form; holomorphic projection; Hurwitz class number
Summary:
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).
References:
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