Archimedean Non-vanishing, Cohomological Test Vectors, and Standard $L$-functions of ${\mathrm{GL}}_{2n}$: Complex Case

Bingchen Lin, Fangyang Tian

The purpose of this paper is to study the local zeta integrals of Friedberg-Jacquet at complex place and to establish similar results to our recent work in the reall case joint wit…