Borcherds Products on Unitary Group $U(2,1)$

Tonghai Yang; Dongxi Ye

Borcherds Products on Unitary Group $U(2,1)$

Number Theory 2017-01-31 v1

Authors: Tonghai Yang , Dongxi Ye

Abstract

In this note, we construct canonical bases for the spaces of weakly holomorphic modular forms with poles supported at the cusp $\infty$ for $\Gamma_{0}(4)$ of integral weight $k$ for $k\leq-1$ , and we make use of the basis elements for the case $k=-1$ to construct explicit Borcherds products on unitary group $U(2,1)$ .

Keywords

modular forms tensor product

Cite

@article{arxiv.1701.08436,
  title  = {Borcherds Products on Unitary Group $U(2,1)$},
  author = {Tonghai Yang and Dongxi Ye},
  journal= {arXiv preprint arXiv:1701.08436},
  year   = {2017}
}

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