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La formule des traces pour les revêtements de groupes réductifs connexes. IV. Distributions invariantes

La formule des traces pour les revêtements de groupes réductifs connexes. IV. Distributions invariantes

We establish the invariant trace formula à la Arthur for the adélic covers of connected reductive groups over a number field, under the hypothesis that the trace Paley-Wiener theorem is verified for all Levi subgroups at the real archimedean places. For instance, this hypothesis can be verified for the metaplectic …