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 contribution | Calculations of epsilon factors of pairs for GL(n) of a local field |
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Original language | French |
Pages (from-to) | 89 - 115 |
Number of pages | 27 |
Journal | COMPOSITIO MATHEMATICA |
Volume | 123 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2000 |