A multivariate integral representation on 𝐺𝐿₂×𝐺𝑆𝑝₄ inspired by the pullback formula

DOI10.1090/tran/7463zbMath1443.11066arXiv1707.02012OpenAlexW3125543527MaRDI QIDQ4633600

Aaron Pollack, Shrenik Shah

Publication date: 3 May 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.02012

zbMATH Keywords

\(L\)-functionsRankin-Selberg integralArchimedean principal series representation

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

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The computation of multivariate archimedean zeta integrals on ${GL}_2 \times {GSp}_4$ and ${GL}_4$ ⋮ Multivariate Rankin-Selberg integrals on $\mathrm{GL}_4$ and $\mathrm{GU}(2,2)$

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