Constructing modular forms from harmonic Maass Jacobi forms
Czechoslovak Mathematical Journal (2021)
- Volume: 71, Issue: 2, page 455-473
- ISSN: 0011-4642
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topXiong, Ran, and Zhou, Haigang. "Constructing modular forms from harmonic Maass Jacobi forms." Czechoslovak Mathematical Journal 71.2 (2021): 455-473. <http://eudml.org/doc/297855>.
@article{Xiong2021,
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).},
author = {Xiong, Ran, Zhou, Haigang},
journal = {Czechoslovak Mathematical Journal},
keywords = {modular form; harmonic Maass Jacobi form; holomorphic projection; Hurwitz class number},
language = {eng},
number = {2},
pages = {455-473},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Constructing modular forms from harmonic Maass Jacobi forms},
url = {http://eudml.org/doc/297855},
volume = {71},
year = {2021},
}
TY - JOUR
AU - Xiong, Ran
AU - Zhou, Haigang
TI - Constructing modular forms from harmonic Maass Jacobi forms
JO - Czechoslovak Mathematical Journal
PY - 2021
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 71
IS - 2
SP - 455
EP - 473
AB - 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).
LA - eng
KW - modular form; harmonic Maass Jacobi form; holomorphic projection; Hurwitz class number
UR - http://eudml.org/doc/297855
ER -
References
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