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Constructing modular forms from harmonic Maass Jacobi forms

Ran XiongHaigang Zhou — 2021

Czechoslovak Mathematical Journal

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).

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