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Archimedean Asai Zeta Integrals and Cohomological Test Vectors
We construct explicit test vectors in the minimal $U(n)$-types of cohomological principal series representations of $\mathrm{GL}_n(\mathbb C)$, together with Schwartz functions, for which the Flicker zeta integrals equal the corresponding Asai $L$-factors. Both the vectors and the Schwartz functions
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