On the standard \(L\)-function for \(G_ 2\)

DOI10.1215/S0012-7094-93-06915-3zbMath0777.11016OpenAlexW1527251327MaRDI QIDQ1210405

David Ginzburg

Publication date: 8 December 1993

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-93-06915-3

zbMATH Keywords

Eisenstein seriesautomorphic representationsRankin-Selberg integralsimple polestandard \(L\)- function of \(G_ 2\)

Mathematics Subject Classification ID

Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (12)

A tower of theta correspondences for \(G_ 2\) ⋮ On the symmetric fourth power \(L\)-function of \(GL_ 2\) ⋮ On a converse theorem for \({\text{G}}_2\) over finite fields ⋮ The completed standard \(L\)-function of modular forms on \(G_2\) ⋮ The Rankin–Selberg integral with a non-unique model for the standard -function of ⋮ Uniqueness of certain Fourier-Jacobi models over finite fields ⋮ Stability of Rankin–Selberg gamma factors for Sp(2n),Sp̃(2n) and U(n,n) ⋮ A doubling integral for \(G_2\) ⋮ Periods and liftings: From \(G_2\) to \(C_3\) ⋮ Poles of the Standard -function of and the Rallis–Schiffmann Lift ⋮ On a Rankin-Selberg integral of the \(L\)-function for \(\widetilde{\mathrm{SL}}_2\times\mathrm{GL}_2\) ⋮ Modular forms on G 2 and their Standard L-Function

Cites Work

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• Howe correspondences on a \(p\)-adic field
• The symmetric-square L-function attached to a cuspidal automorphic representation of \(GL_ 3\)
• A Rankin-Selberg integral for the adjoint representation of \(GL_ 3\)
• Symmetric square \(L\)-functions on \(GL(r)\)
• Automorphic forms on \(GL(3)\). I, II
• On the theory of Jacobi forms and Fourier-Jacobi coefficients of Eisenstein series
• The conjugate classes of Chevalley groups of type \((G_2)\)
• Rankin-Selberg Convolutions
• Rankin-Selberg convolutions for 𝑆𝑂_{2𝑙+1}×𝐺𝐿_{𝑛}: local theory
• Theta Correspondence Associated to G 2
• L-Functions for SOn x GLk.
• Rankin-Selberg Integrals for the Group G 2

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