Sign-change of the Fourier coefficients of a Hauptmodul for ${\Gamma }_0(2)$

Bingyang Hu, Dongxi Ye

In this short note, we aim to prove that the Fourier coefficients of the modular function $\frac{{\eta }^{24}(\tau )}{{\eta }^{24}(2\tau )}$ possess a sign-change property.