The first simultaneous sign change for Fourier coefficients of Hecke-Maass forms

Moni Kumari, Jyoti Sengupta

Let $f$ and $g$ be two Hecke-Maass cusp forms of weight zero for $S{L}_2(\mathbb{Z})$ with Laplacian eigenvalues $\frac{1}{4}+u^2$ and $\frac{1}{4}+v^2$, respectively. Then both have…