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This article develops the structure necessary for the formulation of aversion of Drinfeld-Hayes theory in characteristic zero, using the arithmeticof quasicrystal rings attached to a number field. -- --  Cet article d\'eveloppe la structure n\'ecessaire \`a la formulation d'uneversion de la th\'eorie de Drinfeld-Hayes en caract\'eristique nulle, enutilisant la th\'eorie li\'ee \`a l'arithm\'etique des anneaux quasicristallinsattach\'es aux corps de nombres.

Th\'eorie Quasicristalline des Nombres: Recherche d'une Th\'eorie de Drinfeld-Hayes en Charact\'eristique Z\'ero