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

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

Acta Arithmetica, Tome 155 (2012), p. 373-392 / Harvested from The Polish Digital Mathematics Library

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Publié le : 2012-01-01

Zbl 1272.11047

EUDML-ID : urn:eudml:doc:279403

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     author = {Florian Luca},
     title = {On the system of Diophantine equations $a^2 + b^2 = (m^2+1)^r$ and $a^x + b^y = (m^2 + 1)^z$
            },
     journal = {Acta Arithmetica},
     volume = {155},
     year = {2012},
     pages = {373-392},
     zbl = {1272.11047},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa153-4-3}
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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 155 (2012) pp. 373-392. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa153-4-3/