2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/134495We investigate the anticanonical height zeta function of a (non necessarily split) toric variety defined over a global field of positive characteristic, drawing our inspiration from the method used by Batyrev and Tschinkel to deal with the analogous problem over a number field. By the way, we give a detailed account of their method.in french ; largely revised and corrected ; in particular we no longer claim that the known conjectural interpretation of the main term of the height zeta function is not valid for every toric variety defined over a global field of positive characteristicNumber Theory11G35 ; 11G50 ; 14M25 ; 11M41text