Zeros of weakly holomorphic modular forms of levels 2 and 3

Abstract

Let $M_k^{♯}(N)$ 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 $M_k^{♯}(2)$ and $M_k^{♯}(3)$ 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.

arXiv commentAdded a reference, corrected typos

References in corpus (1)

• Real zeros of holomorphic Hecke cusp forms

Cited by in corpus (3)

• Zeros of certain combinations of Eisenstein series of weight 2k, 3k, and k + l
• Integral traces of weak Maass forms of genus zero odd prime level
• Zeros of weakly holomorphic modular forms of level 4