On the archimedean theory of Rankin-Selberg convolutions for ${\rm SO}_{2l+1}\times{\rm GL}_n$

DOI10.24033/asens.1712zbMath0824.11034OpenAlexW2461186514MaRDI QIDQ4838210

Publication date: 16 November 1995

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1995_4_28_2_161_0

zbMATH Keywords

meromorphic continuation admissible representations Rankin-Selberg convolutions Whittaker model

Mathematics Subject Classification ID

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 (22)

The generalized doubling method: (𝑘,𝑐) models ⋮ On the Langlands parameter of a simple supercuspidal representation: even orthogonal groups ⋮ The notion of norm and the representation theory of orthogonal groups ⋮ Archimedean zeta integrals on $\mathrm{GL}_n\times\mathrm{GL}_m$ and $\mathrm{SO}_{2n+1}\times\mathrm{GL}_m$ ⋮ On spin $L$-functions for orthogonal groups ⋮ A multi-variable Rankin-Selberg integral for a product of $\mathrm{GL}_2$-twisted spinor $L$-functions ⋮ Multiplicativity of the gamma factors of Rankin-Selberg integrals for $\mathrm{SO} _{2l} \times\mathrm{GL}_n$ ⋮ The generalized doubling method: local theory ⋮ Multiplicity one theorems for the generalized doubling method (with an appendix by Avraham Aizenbud and Dmitry Gourevitch) ⋮ An asymptotic expansion of $(k, c)$-functions for $\mathrm{GL}_n (F)$ ⋮ Complementary results on the Rankin-Selberg gamma factors of classical groups ⋮ A multivariate integral representation on 𝐺𝐿₂×𝐺𝑆𝑝₄ inspired by the pullback formula ⋮ On central critical values of the degree four $L$-functions for $\mathrm{GSp}(4)$: a simple trace formula ⋮ Full multiplicativity of gamma factors for $\operatorname {SO}_{2\ell+1}\times \operatorname {GL}_n$ ⋮ On the gcd of local Rankin–Selberg integrals for even orthogonal groups ⋮ The Langlands parameter of a simple supercuspidal representation: symplectic groups ⋮ On the Archimedean local gamma factors for adjoint representation of $\mathrm{GL}_3$. I ⋮ Doubling constructions and tensor product $L$-functions: the linear case ⋮ A Siegel-Weil identity for $G_2$ and poles of $L$-functions ⋮ On irreducibility of standard modules for generic representations ⋮ $L$-functions for symplectic groups ⋮ Boundedness of automorphic 𝐿–functions in vertical strips

Cites Work

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