Power sums and Siegel-type zero-free regions for L-functions

Jesse Thorner

Let $\pi$ and ${\pi }^{\prime }$ be unitary cuspidal automorphic representations of $\mathrm{GL}(n)$ and $\mathrm{GL}(n^{\prime })$ over a number field $F$. Let ${\mathfrak{C}}_{\pi }$ be the analytic conductor o…