The computation of multivariate archimedean zeta integrals on 𝐺𝐿₂×𝐺𝑆𝑝₄ and 𝐺𝐿₄

Ishii, Taku

doi:10.1090/proc/14211

The computation of multivariate archimedean zeta integrals on $\textrm {GL}_2 \times \textrm {GSp}_4$ and $\textrm {GL}_4$
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Proc. Amer. Math. Soc. 147 (2019), 103-114 Request permission

Abstract:

We explicitly compute the archimedean parts of the Rankin- Selberg integrals on $\textrm {GL}_2 \times \textrm {GSp}_4$ and $\textrm {GL}_4$ discovered by Pollack and Shah when the archimedean components are the class one principal series representations.

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