Galois \(\epsilon\)-factors modulo roots of unity

DOI10.1007/BF01388718zbMath0557.12011MaRDI QIDQ762213

Guy Henniart

Publication date: 1984

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143168

zbMATH Keywords

Gauss sumlocal fieldsHaar measureGalois representationslocal Langlands conjecturelocal constant\(\epsilon \) -factorArtin exponentfunctional equations of L-functions

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Langlands-Weil conjectures, nonabelian class field theory (11S37)

Related Items

Local Galois representations of Swan conductor one ⋮ Computation of the lambda function for a finite Galois extension ⋮ Local Root Numbers for Heisenberg-Representations — Some Explicit Results ⋮ La conjecture de Langlands locale numérique pour ${\rm GL}(n)$ ⋮ Davenport-Hasse relations and an explicit Langlands correspondence. II: Twisting conjectures. ⋮ Local Fourier transform and epsilon factors ⋮ \(\varepsilon\)-factor of a tamely ramified sheaf on a variety

Cites Work

• Représentations du groupe de Weil d'un corps local
• Conducteurs d'Artin des caracteres reels. (Artin conductors of real characters)
• On the local Langlands conjecture in prime dimension
• Unnamed Item