Geodesic
Constructing modular forms from harmonic Maass Jacobi forms
Czechoslovak Mathematical Journal, Tome 71 (2021) no. 2, pp. 455-473.

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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).
DOI : 10.21136/CMJ.2020.0427-19
Classification : 11F30, 11F37, 11F50
Keywords: modular form; harmonic Maass Jacobi form; holomorphic projection; Hurwitz class number 
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Xiong, Ran; Zhou, Haigang. Constructing modular forms from harmonic Maass Jacobi forms. Czechoslovak Mathematical Journal, Tome 71 (2021) no. 2, pp. 455-473. doi : 10.21136/CMJ.2020.0427-19. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0427-19/

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