On the symmetric fourth power \(L\)-function of \(GL_ 2\)

DOI10.1007/BF02762075zbMath0847.11027OpenAlexW2318596016MaRDI QIDQ1905778

David Ginzburg

Publication date: 22 January 1996

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

Full work available at URL: https://doi.org/10.1007/bf02762075

zbMATH Keywords

\(L\)-functioncuspidal representationnon-vanishingRankin-Selberg type integralproduct of local factorssymmetric fourth power representation

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)

Related Items (3)

A multi-variable Rankin-Selberg integral for a product of \(\mathrm{GL}_2\)-twisted spinor \(L\)-functions ⋮ On a Rankin-Selberg integral of the \(L\)-function for \(\widetilde{\mathrm{SL}}_2\times\mathrm{GL}_2\) ⋮ A Rankin-Selberg integral for the adjoint \(L\)-function of \(\text{Sp}_ 4\)

Cites Work

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• Metaplectic forms
• Howe correspondences on a \(p\)-adic field
• On the Ramanujan conjecture and finiteness of poles for certain \(L\)-functions
• Distinguished representations and modular forms of half-integral weight
• On the standard \(L\)-function for \(G_ 2\)
• Rankin-Selberg convolutions for 𝑆𝑂_{2𝑙+1}×𝐺𝐿_{𝑛}: local theory
• On an explicit formula for class-$1$ “Whittaker functions” on $GL_n $ over $\beta $-adic fields
• Sur les sous-groupes arithmétiques des groupes semi-simples déployés

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