Czechoslovak Mathematical Journal, first online, pp. 1-19
Constructing modular forms from harmonic Maass Jacobi forms
Ran Xiong, Haigang Zhou
Received September 24, 2019. Published online December 18, 2020.
Abstract: 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).
Keywords: modular form; harmonic Maass Jacobi form; holomorphic projection; Hurwitz class number
Affiliations: Ran Xiong (corresponding author), School of Mathematical Sciences, East China Normal University, No. 500, Dongchuan Road, Minhang District, Shanghai, P. R. China, e-mail: firstname.lastname@example.org; Haigang Zhou, School of Mathematical Sciences, Tongji University, No. 1239, Siping Road, Yangpu District, Shanghai, P. R. China, e-mail: email@example.com