Calculations of epsilon factors of pairs for GL(n) of a local field

Translated title of the contribution: Calculations of epsilon factors of pairs for GL(n) of a local field

C J Bushnell, G Henniart

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

Let F a locally compact non-Archimedean field, of residue characteristic p, and psi a nontrivial additive character of F. Let sigma, sigma' be irreducible representations of the absolute Weil group of F, each of degree a power of p and not induced from a nontrivial unramified extension of F. We give a formula for the value at s=1/2 of the epsilon-factor epsilon (sigma x sigma ',psi ,s), modulo roots of unity in C of order a power of p. Via the Langlands correspondence, we get an analogous formula for supercuspidal representations of GL(n)(F).
Translated title of the contributionCalculations of epsilon factors of pairs for GL(n) of a local field
Original languageFrench
Pages (from-to)89 - 115
Number of pages27
JournalCOMPOSITIO MATHEMATICA
Volume123
Issue number1
DOIs
Publication statusPublished - 2000

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