2 problems

Generalized $\tau$-Li criterion. Non-vanishing of $F$ in the half-plane $\operatorname{Re}(s)>\tau/2$ is equivalent to growth of $\lambda_F(n,\tau)$ as $\mathcal{C}_F\tau n\log n$…

Let $F\in\mathcal{S}^{\sharp \flat }(\sigma_0,\sigma_1)$, let $\tau$ be the parameter in the generalized Li coefficients $\lambda_F(n,\tau)$, and consider the half-plane…