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- W2738083083 abstract "On propose une m'ethode de r'esolution effective de l''equation diophantienne $(E_2): ax^2-by^2=1$ o`u $a$ et $b$ sont des entiers naturels non nuls et premiers entre eux. Cette m'ethode s'appuie sur le d'eveloppement en fraction continu'ee de certains nombres irrationnels quadratiques que l'on d'ecrit compl`etement. On commence par utiliser ces d'eveloppements pour r'esoudre certaines 'equations de Pell-Fermat g'en'eralis'ees avant d'appliquer `a l''equation $(E_2)$ les r'esultats obtenus." @default.
- W2738083083 created "2017-07-31" @default.
- W2738083083 creator A5027561087 @default.
- W2738083083 date "2017-07-22" @default.
- W2738083083 modified "2023-09-27" @default.
- W2738083083 title "L'équation diophantienne $ax^2-by^2=1$" @default.
- W2738083083 hasPublicationYear "2017" @default.
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