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

DOI10.1016/J.JNT.2017.10.026zbMath1433.11066OpenAlexW2769748234MaRDI QIDQ1711691

David Soudry

Publication date: 18 January 2019

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2017.10.026

zbMATH Keywords

Rankin-Selberg integrals

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 (4)

Multiplicity one theorems for the generalized doubling method (with an appendix by Avraham Aizenbud and Dmitry Gourevitch) ⋮ 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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• Multiplicity one theorems
• Explicit constructions of automorphic \(L\)-functions
• Whittaker-Shintani function for orthogonal groups
• A corollary to Bernstein's theorem and Whittaker functionals on the metaplectic group
• The unramified computation of Rankin-Selberg integrals expressed in terms of Bessel models for split orthogonal groups. I
• The unramified computation of Rankin-Selberg integrals for \(\mathrm{SO}_{2l}\times\mathrm{GL}_ n\)
• Rankin-Selberg convolutions for 𝑆𝑂_{2𝑙+1}×𝐺𝐿_{𝑛}: local theory
• On Certain L-Functions
• 𝐿 functions for the orthogonal group
• Periods and harmonic analysis on spherical varieties
• L-Functions for SOn x GLk.

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