$L$-functions of $\mathrm{GL}(2n):$ $p$-adic properties and non-vanishing of twists

Mladen Dimitrov, Fabian Januszewski, A. Raghuram

The principal aim of this article is to attach and study $p$-adic $L$-functions to cohomological cuspidal automorphic representations $\Pi$ of $\mathrm{GL}(2n)$ over a totally real f…