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

## TL;DR

This paper provides an unconditional proof of the Blasius-Deligne conjecture concerning the critical values of standard L-functions for symplectic type on GL_{2n}, completing a significant research project.

## Contribution

It offers the first unconditional proof of the conjecture for all n ≥ 1, advancing understanding of L-functions of symplectic type.

## Key findings

- Unconditional proof of the Blasius-Deligne conjecture for GL_{2n} L-functions
- Complete the project initiated in JST19
- Establish critical value formulas for symplectic type L-functions

## Abstract

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