On the Blasius-Deligne conjecture for the standard $L$-functions of symplectic type for ${\text{GL}}_{2n}$

Abstract

In this paper we give an unconditional proof of the Blasius-Deligne conjecture for the critical values of the ${\text{GL}}_{2n}$-standard $L$-functions of symplectic type with $n\ge 1$ and complete the project started in [JST19].