Multiplicativity of the gamma factors of Rankin-Selberg integrals for \(\mathrm{SO} _{2l} \times\mathrm{GL}_n\)

DOI10.1007/s00229-012-0602-xzbMath1318.11158OpenAlexW2032448327MaRDI QIDQ382244

Eyal Kaplan

Publication date: 18 November 2013

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-012-0602-x

zbMATH Keywords

gamma factorRankin-Selberg integral

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) Zeta functions and (L)-functions (11S40)

Related Items (9)

On the Langlands parameter of a simple supercuspidal representation: even orthogonal groups ⋮ The generalized doubling method: local theory ⋮ A converse theorem for split \(\mathrm{SO}_{2l}\) over finite fields ⋮ Local descent to quasi-split even general spin groups ⋮ Complementary results on the Rankin-Selberg gamma factors of classical groups ⋮ On local descent for unitary groups ⋮ The Langlands parameter of a simple supercuspidal representation: symplectic groups ⋮ 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

• Multiplicity one theorems
• An invariant theory approach for the unramified computation of Rankin-Selberg integrals for quasi-split \(\text{SO}_{2n} \times \text{GL}_n\)
• Explicit constructions of automorphic \(L\)-functions
• The local converse theorem for \(\operatorname {SO}(2n+1)\) and applications
• A corollary to Bernstein's theorem and Whittaker functionals on the metaplectic group
• The unramified computation of Rankin-Selberg integrals for \(\mathrm{SO}_{2l}\times\mathrm{GL}_ n\)
• A proof of Langlands' conjecture on Plancherel measures; complementary series for \(p\)-adic groups
• Functoriality for the classical groups
• A geometric construction of intertwining operators for reductive \(p\)-adic groups
• Rankin-Selberg Convolutions
• Rankin-Selberg convolutions for 𝑆𝑂_{2𝑙+1}×𝐺𝐿_{𝑛}: local theory
• On Certain L-Functions
• REPRESENTATIONS OF THE GROUPGL(n,F) WHEREFIS A NON-ARCHIMEDEAN LOCAL FIELD
• 𝐿 functions for the orthogonal group
• LA FORMULE DE PLANCHEREL POUR LES GROUPES p-ADIQUES. DAPRS HARISH-CHANDRA
• L-Functions for SOn x GLk.
• On the archimedean theory of Rankin-Selberg convolutions for ${\rm SO}_{2l+1}\times{\rm GL}_n$
• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
• La conjecture locale de Gross-Prasad pour les groupes sp\'eciaux orthogonaux: le cas g\'en\'eral
• Full multiplicativity of gamma factors for \(\operatorname {SO}_{2\ell+1}\times \operatorname {GL}_n\)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Multiplicativity of the gamma factors of Rankin-Selberg integrals for \(\mathrm{SO} _{2l} \times\mathrm{GL}_n\)