Zero density estimates for ${\mathrm{GL}}_2$ automorphic $L$-functions

Catherine Cossaboom

We prove zero density estimates for $L$-functions of cuspidal automorphic representations $\pi$ of ${\mathrm{GL}}_2({\mathbb{A}}_{\mathbb{Q}})$. We show that $N_π(σ, T) \ll T^{\frac{5}{2…