Whittaker-orthogonal models, functoriality, and the Rankin-Selberg method

DOI10.1007/BF01232019zbMath0782.11015MaRDI QIDQ1204255

David Ginzburg, Daniel Bump, Solomon Friedberg

Publication date: 3 March 1993

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144013

zbMATH Keywords

Rankin-Selberg integralsRankin-Selberg integralirreducible admissible representationnon-archimedean local field\(L\)-functions for automorphic formsnonramified principal series representationWhittaker- Orthogonal 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 (8)

Explicit formulas for the Waldspurger and Bessel models ⋮ Values of Iwahori-fixed vectors in the non-split Bessel model on \(\mathrm{GSp}(2n)\) ⋮ Towards a classification of global integral constructions and functorial liftings using the small representations method ⋮ Rankin’s Lemma of Higher Genus and Explicit Formulas for Hecke Operators ⋮ Dimensions of Automorphic Representations, L-Functions and Liftings ⋮ On \(L\)-functions for \(U_{2n+1} \times \text{Res}_{E/F} \text{GL}_m (m > n)\) ⋮ $L$-functions for symplectic groups ⋮ \(p\)-adic \(L\)-functions for \(\text{GL}(2n)\)

Cites Work

• A uniqueness theorem for representations of GSO(6) and the strong multiplicity one theorem for generic representations of GSp(4)
• The multiplicity one theorem for \(\mathrm{GL}_n\)
• Automorphic forms on GL (2)
• Some applications of Gelfand pairs to number theory
• A new way to get Euler products.
• REPRESENTATIONS OF THE GROUPGL(n,F) WHEREFIS A NON-ARCHIMEDEAN LOCAL FIELD
• L-Functions for SOn x GLk.
• Lie Group Representations and Harmonic Polynomials of a Matrix Variable
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Whittaker-orthogonal models, functoriality, and the Rankin-Selberg method