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arXiv · 1404.6402

Weakly holomorphic modular forms for some moonshine groups

Martina Lahr·Rainer Schulze-Pillot
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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 $Γ_0(N)$.

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Martina Lahr, Rainer Schulze-Pillot. 2014-05-13. Weakly holomorphic modular forms for some moonshine groups. https://arxiv.org/abs/1404.6402

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