The unramified computation of Rankin-Selberg integrals expressed in terms of Bessel models for split orthogonal groups. I

DOI10.1007/s11856-017-1604-xzbMath1433.11065OpenAlexW2767468901MaRDI QIDQ1686400

David Soudry

Publication date: 22 December 2017

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-017-1604-x

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (6)

Multiplicity one theorems for the generalized doubling method (with an appendix by Avraham Aizenbud and Dmitry Gourevitch) ⋮ The unramified computation of Rankin-Selberg integrals expressed in terms of Bessel models for split orthogonal groups. II ⋮ On local descent to metaplectic groups and local theta correspondence ⋮ Bessel Descents and Branching Problems ⋮ Doubling constructions and tensor product \(L\)-functions: the linear case ⋮ On \(L\)-functions for \(U_{2n+1} \times \text{Res}_{E/F} \text{GL}_m (m > n)\)

Cites Work

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• A product of tensor product \(L\)-functions of quasi-split classical groups of Hermitian type
• Rankin-Selberg convolutions for 𝑆𝑂_{2𝑙+1}×𝐺𝐿_{𝑛}: local theory
• On the asymptotics of Whittaker functions
• On Certain L-Functions
• Langlands-Shahidi Method and Poles of Automorphic L-Functions: Application to Exterior Square L-Functions
• 𝐿 functions for the orthogonal group
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• Automorphic Integral Transforms for Classical Groups I: Endoscopy Correspondences

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