Weakly holomorphic modular forms for some moonshine groups

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 $S{L}_2(\mathbf{Z})$. We show here that their results can be generalized to certain moonshine groups, also allowing characters that are real on the underlying subgroup ${\Gamma }_0(N)$.

Some misprints corrected. To appear in Archiv der Mathematik

References in corpus (1)

• On the zeros of Eisenstein series for ${\Gamma }_0^{\ast }(5)$ and ${\Gamma }_0^{\ast }(7)$