On \(L\)-functions for \(U_{2n+1} \times \text{Res}_{E/F} \text{GL}_m (m > n)\)
type: Item
instance of: scholarly article
title: On \(L\)-functions for \(U_{2n+1} \times \text{Res}_{E/F} \text{GL}_m (m > n)\)
zbMATH Open document ID: 1465.11126
author: Kazuki Morimoto
author: David Soudry
published in: Journal of Number Theory
publication date: 2020-08-03T00:00:00Z
Mathematics Subject Classification ID: 11F66
Mathematics Subject Classification ID: 11F70
zbMATH DE Number: 7226984
zbMATH Keywords: Rankin-Selberg integrals
zbMATH Keywords: gamma factors
MaRDI profile type: Publication
full work available at URL: j.jnt.2020.05.002
OpenAlex ID: W3026398289
cites work: A corollary to Bernstein's theorem and Whittaker functionals on the metaplectic group
cites work: Q5325591
cites work: On 𝐿-functions for 𝑈_{2𝑘}×𝑅_{𝐸/𝐹}𝐺𝐿_{𝑚}, (𝑘<𝑚)
cites work: REPRESENTATIONS OF THE GROUPGL(n,F) WHEREFIS A NON-ARCHIMEDEAN LOCAL FIELD
cites work: Explicit formulas for the Waldspurger and Bessel models
cites work: Whittaker-orthogonal models, functoriality, and the Rankin-Selberg method
cites work: Q3926802
cites work: Q3926803
cites work: Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
cites work: $L$-functions for symplectic groups
cites work: On a correspondence between cuspidal representations of 𝐺𝐿_{2𝑛} and 𝑆𝑝̃_{2𝑛}
cites work: Q3009492
cites work: Rankin-Selberg Convolutions
cites work: Q3497288
cites work: The local converse theorem for \(\operatorname {SO}(2n+1)\) and applications
cites work: Uniqueness of Bessel models: the archimedean case
cites work: The unramified computation of Rankin-Selberg integrals for \(\mathrm{SO}_{2l}\times\mathrm{GL}_ n\)
cites work: Multiplicativity of the gamma factors of Rankin-Selberg integrals for \(\mathrm{SO} _{2l} \times\mathrm{GL}_n\)
cites work: On Whittaker–Fourier coefficients of automorphic forms on unitary groups: reduction to a local identity
cites work: Refined global Gan-Gross-Prasad conjecture for Bessel periods
cites work: Rankin-Selberg convolutions for 𝑆𝑂_{2𝑙+1}×𝐺𝐿_{𝑛}: local theory
cites work: The unramified computation of Rankin-Selberg integrals expressed in terms of Bessel models for split orthogonal groups. I
cites work: The unramified computation of Rankin-Selberg integrals expressed in terms of Bessel models for split orthogonal groups. II
cites work: On local descent for unitary groups
DOI: 10.1016/J.JNT.2020.05.002
description: scientific article; zbMATH DE number 7226984