On the Hecke Eigenvalues of Maass Forms

Wenzhi Luo, Fan Zhou

Let $\varphi$ denote a primitive Hecke-Maass cusp form for ${\Gamma }_o(N)$ with the Laplacian eigenvalue ${\lambda }_{\varphi }=1/4+t_{\varphi }^2$. In this work we show that there exists a prime $p$ such that $p\nmid N$…