Modified Jacobi forms of index zero (II)

Ja Kyung Koo; Dong Hwa Shin

Modified Jacobi forms of index zero (II)

Number Theory 2010-08-04 v3

Authors: Ja Kyung Koo , Dong Hwa Shin

Abstract

For a negative integer $k$ let $J_k$ be the space of modified Jacobi forms of weight $k$ and index 0 on $\mathrm{SL}_2(\mathbb{Z})$ . For each positive integer $m$ we consider certain subspace $J_k^{m}$ of $J_k$ which satisfies $J_k=\cup_{m=1}^\infty J_k^m$ . By observing a relation between coefficients of the Fourier development of a modified Jacobi form we show that $J_k^m$ is finite-dimensional.

Keywords

jacobian conjecture jacobi forms

Cite

@article{arxiv.1006.2583,
  title  = {Modified Jacobi forms of index zero (II)},
  author = {Ja Kyung Koo and Dong Hwa Shin},
  journal= {arXiv preprint arXiv:1006.2583},
  year   = {2010}
}

Comments

This paper has been withdrawn by the authors. This paper and our previous one "Modified Jacobi forms of index zero" combine to a new version

Modified Jacobi forms of index zero (II)

Abstract

Keywords

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