Relative Kloosterman integrals for GL(3)

DOI10.24033/bsmf.2187zbMath0785.11032OpenAlexW2480475323MaRDI QIDQ4030113

Yangbo Ye, Hervé Jacquet

Publication date: 1 April 1993

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1992__120_3_263_0

zbMATH Keywords

Mellin transformsrelative trace formulabase changeautomorphic representationsfundamental lemmaKloosterman integral

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Fourier coefficients of automorphic forms (11F30) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Langlands-Weil conjectures, nonabelian class field theory (11R39)

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Cites Work

• On the nonvanishing of some \(L\)-functions
• Modular forms associated to real quadratic fields
• Kloosterman integrals and base change for GL (2).
• Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)
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