A \(\mathrm{G}_2\)-period of a Fourier coefficient of an Eisenstein series on \(\mathrm{E}_6\)

DOI10.1007/s11856-019-1919-xzbMath1442.22019arXiv1804.07227OpenAlexW2967663201WikidataQ127373239 ScholiaQ127373239MaRDI QIDQ2279933

Chen Wan, Michał Zydor, Aaron Pollack

Publication date: 17 December 2019

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

Full work available at URL: https://arxiv.org/abs/1804.07227

zbMATH Keywords

Eisenstein seriesautomorphic \(L\)-functionsexceptional groupsautomorphic periods

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 (2)

On the residue method for period integrals ⋮ Modular forms on G 2 and their Standard L-Function

Cites Work

• Periods of automorphic forms, poles of \(L\)-functions and functorial lifting
• On the inner product of truncated Eisenstein series
• Isotropic trialitarian algebraic groups
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• A proof of Langlands' conjecture on Plancherel measures; complementary series for \(p\)-adic groups
• On Hjelmslev-Moufang planes
• La conjecture locale de Gross-Prasad pour les représentations tempérées des groupes unitaires
• G2-periods and residual representations
• Minimal representations of exceptional 𝑝-adic groups
• On the nonvanishing of the central value of the Rankin-Selberg 𝐿-functions
• On a Conjecture of Jacquet, Lai, and Rallis: Some Exceptional Cases
• On Local L-Functions and Normalized Intertwining Operators
• Linear algebraic groups.
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