Distinguished representations and quadratic base change for 𝐺𝐿(3)

DOI10.1090/S0002-9947-96-01549-8zbMath0861.11033OpenAlexW1938558860MaRDI QIDQ4889944

Hervé Jacquet, Yangbo Ye

Publication date: 12 May 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-96-01549-8

zbMATH Keywords

automorphic representationsquadratic base changeasymptotics of the orbital integralsmatching of test functionsrelative trace formula for quadratic extensions of \(GL(3)\)system of Shalika germs

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Gauss and Kloosterman sums; generalizations (11L05) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Langlands-Weil conjectures, nonabelian class field theory (11R39)

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