Modified Jacobi forms of index zero
Number Theory
2010-07-15 v2
Abstract
By modifying a slash operator of index zero we define \textit{modified Jacobi forms} of \textit{index zero}. Such forms play a role of generating nearly holomorphic modular forms of integral weight. Furthermore, by observing a relation between the coefficients of Fourier development of a modified Jacobi form we construct a family of finite-dimensional subspaces.
Keywords
Cite
@article{arxiv.1006.1467,
title = {Modified Jacobi forms of index zero},
author = {Ja Kyung Koo and Dong Hwa Shin},
journal= {arXiv preprint arXiv:1006.1467},
year = {2010}
}