A Rankin-Selberg integral for the adjoint \(L\)-function of \(\text{Sp}_ 4\)

DOI10.1007/BF02761044zbMath0869.11046MaRDI QIDQ1817280

David Ginzburg

Publication date: 16 July 1997

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Eisenstein seriestheta functionautomorphic \(L\)-functionsEuler productscuspidal automorphic representationsadjoint representationRankin-Selberg integralfourth symmetric power \(L\)-function

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Other groups and their modular and automorphic forms (several variables) (11F55) 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 (1)

A multi-variable Rankin-Selberg integral for a product of \(\mathrm{GL}_2\)-twisted spinor \(L\)-functions

Cites Work

• Unnamed Item
• Unnamed Item
• Metaplectic forms
• The Capelli identity, the double commutant theorem, and multiplicity-free actions
• Young-diagrammatic methods for the representation theory of the classical groups of type \(B_ n\), \(C_ n\), \(D_ n\)
• On Shimura's correspondence
• Howe correspondences on a \(p\)-adic field
• The symmetric-square L-function attached to a cuspidal automorphic representation of \(GL_ 3\)
• Invariants d'un sous-groupe unipotent maximal d'un groupe semi-simple
• A Rankin-Selberg integral for the adjoint representation of \(GL_ 3\)
• Symmetric square \(L\)-functions on \(GL(r)\)
• On the symmetric fourth power \(L\)-function of \(GL_ 2\)
• Sur certains groupes d'opérateurs unitaires
• Sur les sous-groupes arithmétiques des groupes semi-simples déployés

This page was built for publication: A Rankin-Selberg integral for the adjoint \(L\)-function of \(\text{Sp}_ 4\)