Multivariate Rankin-Selberg integrals on $\mathrm{GL}_4$ and $\mathrm{GU}(2,2)$

zbMath1450.11045arXiv1707.04658MaRDI QIDQ4633519

Aaron Pollack, Shrenik Shah

Publication date: 3 May 2019

Full work available at URL: https://arxiv.org/abs/1707.04658

zbMATH Keywords

unitary group\(L\)-functionautomorphic formRankin-Selberg methodLanglands programexterior square

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (2)

The computation of multivariate archimedean zeta integrals on ${GL}_2 \times {GSp}_4$ and ${GL}_4$ ⋮ Dimensions of Automorphic Representations, L-Functions and Liftings

Cites Work

• A multi-variable Rankin-Selberg integral for a product of \(\mathrm{GL}_2\)-twisted spinor \(L\)-functions
• Spin \(L\)-functions for \(\text{GSO}_{10}\) and \(\text{GSO}_{12}\)
• On \(L\)-functions and intertwining operators for unitary groups
• Rankin-Selberg integrals in two complex variables
• On the Rankin-Selberg integral of Kohnen and Skoruppa
• Galois representations associated with unitary groups over \(\mathbb Q\)
• Shalika periods on 𝐺𝑈(2,2)
• The spin L-function of quasi-split D4
• The Spin L-function on GSp6 Via a non-unique model
• A multivariate integral representation on 𝐺𝐿₂×𝐺𝑆𝑝₄ inspired by the pullback formula
• Unramified Godement-Jacquet theory for the spin similitude group
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