Zeros of weakly holomorphic modular forms of levels 2 and 3

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Let Mₖ(N) be the space of weakly holomorphic modular forms for Γ₀(N) that are holomorphic at all cusps except possibly at ∞. We study a canonical basis for Mₖ(2) and Mₖ(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.