The Rankin–Selberg integral with a non-unique model for the standard -function of

DOI10.1017/S147474801300039XzbMath1308.22009arXiv1207.5296OpenAlexW2940458348MaRDI QIDQ2937360

Avner Segal, Nadya Gurevich

Publication date: 9 January 2015

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.5296

zbMATH Keywords

Rankin-Selberg integralexceptional group \(G_2\)representative theory

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) 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 (9)

Unramified Godement-Jacquet theory for the spin similitude group ⋮ The completed standard \(L\)-function of modular forms on \(G_2\) ⋮ A doubling integral for \(G_2\) ⋮ The degenerate Eisenstein series attached to the Heisenberg parabolic subgroups of quasi-split forms of 𝑆𝑝𝑖𝑛₈ ⋮ Poles of the Standard -function of and the Rallis–Schiffmann Lift ⋮ Dimensions of Automorphic Representations, L-Functions and Liftings ⋮ Modular forms on G 2 and their Standard L-Function ⋮ The degenerate residual spectrum of quasi-split forms of $Spin_8$ associated to the Heisenberg parabolic subgroup ⋮ On the Local Coefficients Matrix for Coverings of $$\mathrm{SL}_2$$SL2

Cites Work

• On the standard \(L\)-function for \(G_ 2\)
• Cubic unipotent Arthur parameters and multiplicities of square integrable automorphic forms
• Fourier coefficients of modular forms on \(G_2\).
• Theta Correspondence Associated to G 2

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