On the arithmetic of Shalika models and the critical values of $L$-functions for $\mathrm{GL}(2n)$

Harald Grobner, A. Raghuram

Let $\Pi$ be a cohomological cuspidal automorphic representation of ${\mathrm{GL}}_{2n}(\mathbb{A})$ over a totally real number field $F$. Suppose that $\Pi$ has a Shalika model. We define a…