A product of tensor product \(L\)-functions of quasi-split classical groups of Hermitian type

DOI10.1007/s00039-014-0266-7zbMath1298.11046arXiv1212.6580OpenAlexW2040659091MaRDI QIDQ2449831

Lei Zhang, Di-Hua Jiang

Publication date: 12 May 2014

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.6580

zbMATH Keywords

global zeta integralsperiods of Eisenstein seriestensor product of \(L\)-functions

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Representations of Lie and linear algebraic groups over local fields (22E50) 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 (13)

Refined global Gan-Gross-Prasad conjecture for Bessel periods ⋮ Arthur parameters and Fourier coefficients for automorphic forms on symplectic groups ⋮ On the non-vanishing of the central value of certain \(L\)-functions: unitary groups ⋮ The unramified computation of Rankin-Selberg integrals expressed in terms of Bessel models for split orthogonal groups. I ⋮ Uniqueness of certain Fourier-Jacobi models over finite fields ⋮ Automorphic descent for symplectic groups: The branching problems and L -functions ⋮ Multiplicity one theorems for the generalized doubling method (with an appendix by Avraham Aizenbud and Dmitry Gourevitch) ⋮ Whittaker-Shintani functions for general linear groups over \(p\)-adic fields ⋮ A multivariate integral representation on 𝐺𝐿₂×𝐺𝑆𝑝₄ inspired by the pullback formula ⋮ On local descent to metaplectic groups and local theta correspondence ⋮ Periods of automorphic forms: the case of \((\mathrm{U}_{n+1}\times \mathrm{U}_{n},\mathrm{U}_{n})\) ⋮ Bessel Descents and Branching Problems ⋮ Doubling constructions and tensor product \(L\)-functions: the linear case

Cites Work

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• Multiplicity one theorems
• Multiplicity one theorems: the Archimedean case
• Explicit constructions of automorphic \(L\)-functions
• The multiplicity one theorem for \(\mathrm{GL}_n\)
• A corollary to Bernstein's theorem and Whittaker functionals on the metaplectic group
• Endoscopic lifting in classical groups and poles of tensor \(L\)-functions
• The Refined Gross–Prasad Conjecture for Unitary Groups
• The Whittaker–Shintani Functions for Symplectic Groups
• Uniqueness of Ginzburg-Rallis models: The Archimedean case
• Rankin-Selberg Convolutions
• 𝐿 functions for the orthogonal group
• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
• Endoscopic Classification of representations of Quasi-Split Unitary Groups
• On Fourier Coefficients of Automorphic Forms of GL(n)

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