Zeros of certain weakly holomorphic modular forms for the Fricke group ${\Gamma }_0^{+}(3)$

Seiichi Hanamoto, Seiji Kuga

Let $M_k^{!}({\Gamma }_0^{+}(3))$ be the space of weakly holomorphic modular forms of weight $k$ for the Fricke group of level $3$. We introduce a natural basis for $M_k^{!}({\Gamma }_0^{+}(3))$ and prove…