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La théorie de Markoff classique, construite autour de l’équation diophantienne donne les constantes d’approximation des nombres irrationnels supérieures à . Dans le présent article, on explicite une théorie équivalente autour de la valeur . Elle est intimement liée à l’équation diophantienne pour laquelle on construit explicitement un arbre associé.
All purely cubic fields such that their maximal order is generated by its units are determined.
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