Weakly holomorphic modular forms for some moonshine groups

Martina Lahr; Rainer Schulze-Pillot

Weakly holomorphic modular forms for some moonshine groups

Number Theory 2014-05-14 v2

Authors: Martina Lahr , Rainer Schulze-Pillot

Abstract

In an article in the Pure and Applied Mathematics Quarterly in 2008, Duke and Jenkins investigated a certain natural basis of the space of weakly holomorphic modular forms for the full modular group $SL_2({\bf Z})$ . We show here that their results can be generalized to certain moonshine groups, also allowing characters that are real on the underlying subgroup $\Gamma_0(N)$ .

Keywords

weak convergence modular forms module theory

Cite

@article{arxiv.1404.6402,
  title  = {Weakly holomorphic modular forms for some moonshine groups},
  author = {Martina Lahr and Rainer Schulze-Pillot},
  journal= {arXiv preprint arXiv:1404.6402},
  year   = {2014}
}

Comments

Some misprints corrected. To appear in Archiv der Mathematik

Related papers

View all related →