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Weakly holomorphic modular forms for some moonshine groups

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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(Z). We show here that their results can be generalized to certain moonshine groups, also allowing characters that are real on the underlying subgroup Γ0(N).

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Authors and Affiliations

  1. Speicherstr. 40, 60327, Frankfurt, Germany

    Martina Lahr

  2. FR 6.1 Mathematik, Universität des Saarlandes, Postfach 151150, 66041, Saarbrücken, Germany

    Rainer Schulze-Pillot

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  1. Martina Lahr
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  2. Rainer Schulze-Pillot
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Correspondence to Rainer Schulze-Pillot.

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Lahr, M., Schulze-Pillot, R. Weakly holomorphic modular forms for some moonshine groups. Arch. Math. 103, 53–60 (2014). https://doi.org/10.1007/s00013-014-0647-z

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  • DOI: https://doi.org/10.1007/s00013-014-0647-z

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