A Family of New-Way Integrals for the Standard ℒ-function of Cuspidal Representations of the Exceptional Group of TypeG2

DOI10.1093/IMRN/RNW090zbMath1405.11062arXiv1501.05558OpenAlexW2963101534MaRDI QIDQ4611927

Avner Segal

Publication date: 22 January 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.05558

zbMATH Keywords

Rankin-Selberg integralsstandard twisted partial \(\mathcal L\)-function, \(\theta\)-lift

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (5)

The completed standard \(L\)-function of modular forms on \(G_2\) ⋮ 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 ⋮ 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

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