On the $\tau $-Li coefficients for automorphic $L$-functions
On the $\tau $-Li coefficients for automorphic $L$-functions
In this paper, we extend the Li coefficients for automorphic $L$-functions and the Li criterion for the Riemann hypothesis to yield a necessary and sufficient condition for the existence of zero-free strips for automorphic $L$-functions inside the critical strip. Next, we give an arithmetical and asymptotical formula for these coefficients. …