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Le texte qui suit, aussi ramasse que possible, reprend un expose fait a Luminy en novembre 2002. Il presente un panorama des recents progres en arithmetique 'dimorphique' des multizetas et esquisse les theories (ARI/GARI, objets perinomaux, moules speciaux) qui ont permis ces progres.

Multizetas, perinomal numbers, arithmetical dimorphy, and ARI/GARI