The Blasius-Deligne conjecture is proved for standard L-functions of symplectic type for GL_{2n}, for all n at least 1, assuming a nonvanishing condition when the base field has complex places.
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On the Blasius-Deligne conjecture for the standard $L$-functions of symplectic type for $\textrm{GL}_{2n}$
The Blasius-Deligne conjecture is proved for standard L-functions of symplectic type for GL_{2n}, for all n at least 1, assuming a nonvanishing condition when the base field has complex places.