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Soit un corps de nombres. Dans ce travail nous calculons des majorants effectifs pour la taille des solutions en entiers algébriques de des équations, , où a au moins trois racines d’ordre impair, et où et a au moins deux racines d’ordre premier à . On améliore ainsi les estimations connues ([2],[9]) pour les solutions de ces équations en entiers algébriques de .
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