On the system of Diophantine equations $a^2+b^2=(m^2+1)^r$ and $a^x+b^y=(m^2+1)^z$

Florian Luca

doi:10.4064/aa153-4-3

Geodesic

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On the system of Diophantine equations $a^2+b^2=(m^2+1)^r$ and $a^x+b^y=(m^2+1)^z$

Florian Luca ¹

¹ Instituto de Matemáticas Universidad Nacional Autónoma de México C.P. 58089, Morelia, Michoacán, México and The John Knopfmacher Centre for Applicable Analysis and Number Theory University of the Witwatersrand P.O. Wits 2050, Johannesburg, South Africa

Acta Arithmetica, Tome 153 (2012) no. 4, pp. 373-392.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

DOI : 10.4064/aa153-4-3

Affiliations des auteurs :

Florian Luca ¹

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Florian Luca. On the system of Diophantine equations $a^2+b^2=(m^2+1)^r$ and $a^x+b^y=(m^2+1)^z$. Acta Arithmetica, Tome 153 (2012) no. 4, pp. 373-392. doi : 10.4064/aa153-4-3. http://geodesic.mathdoc.fr/articles/10.4064/aa153-4-3/

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