Journal
CZECHOSLOVAK MATHEMATICAL JOURNAL
Volume 71, Issue 2, Pages 455-473Publisher
SPRINGER HEIDELBERG
DOI: 10.21136/CMJ.2020.0427-19
Keywords
modular form; harmonic Maass Jacobi form; holomorphic projection; Hurwitz class number
Categories
Funding
- Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice
- Fundamental Research Funds for the Central Universities [22120180508]
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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.
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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