Mathematical Research Letters
Volume 20 (2013)
Zeros of weakly holomorphic modular forms of levels 2 and 3
Pages: 657 – 674
Let $M_k^\sharp(N)$ be the space of weakly holomorphic modular forms for $\Gamma_0(N)$ that are holomorphic at all cusps except possibly at $\infty$. We study a canonical basis for $M_k^\sharp(2)$ and $M_k^\sharp(3)$ and prove that almost all modular forms in this basis have the property that the majority of their zeros in a fundamental domain lie on a lower boundary arc of the fundamental domain.
2010 Mathematics Subject Classification