A Rankin-Selberg integral for the adjoint representation of \(GL_ 3\)

DOI10.1007/BF01232279zbMath0744.11027MaRDI QIDQ1177417

David Ginzburg

Publication date: 26 June 1992

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

Full work available at URL: https://eudml.org/doc/143924

zbMATH Keywords

functional equationanalytic continuationcuspidal representationRankin-Selberg integralautomorphic L-functionsEuler product with Whittaker modelglobal zeta-integralunramified local zeta- integrals

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Zeta functions and (L)-functions of number fields (11R42) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Zeta functions and (L)-functions (11S40)

Related Items (9)

Holomorphy of adjoint L-functions for \(\mathrm{GL}(n):n\le 4\) ⋮ On spin \(L\)-functions for orthogonal groups ⋮ On the standard \(L\)-function for \(G_ 2\) ⋮ On a Rankin-Selberg integral of the \(L\)-function for \(\widetilde{\mathrm{SL}}_2\times\mathrm{GL}_2\) ⋮ On the Archimedean local gamma factors for adjoint representation of \(\mathrm{GL}_3\). I ⋮ A Rankin-Selberg integral for the adjoint \(L\)-function of \(\text{Sp}_ 4\) ⋮ Holomorphy of adjoint \(L\) functions for quasisplit \(A_2\) ⋮ A Siegel-Weil identity for \(G_2\) and poles of \(L\)-functions ⋮ A new tower of Rankin-Selberg integrals

Cites Work

• The conjugate classes of Chevalley groups of type \((G_2)\)
• On Euler Products and the Classification of Automorphic Representations I
• Introduction to Lie Algebras and Representation Theory
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