On local \(L\)-factors for Archimedean \(\mathrm{GL}(n)\)

DOI10.1016/j.jalgebra.2024.05.004MaRDI QIDQ6558482

Moshe Adrian, Shuichiro Takeda

Publication date: 19 June 2024

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

local Langlands correspondencelocal \(L\)-factorslocal converse theorems

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Zeta functions and (L)-functions of number fields (11R42) 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 (11S37)

Cites Work

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• Characterization of the local Langlands conjecture by \(\varepsilon\)-factors for pairs
• A simple proof of Langlands conjectures for \(\text{GL}_n\) on a \(p\)-adic field
• The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
• Rankin-Selberg Convolutions
• Fourier Transforms of Intertwining Operators and Plancherel Measures for GL(n)
• On Certain L-Functions
• Une caractérisation de la correspondance de Langlands locale pour ${\rm GL}(n)$
• A local converse theorem for Archimedean \(\mathrm{GL}(n)\)

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