Geodesic
Parametric Solutions of the Diophantine Equation $A^2 + nB^4 = C^3$
Susil Kumar Jena1
1 Department of Electronics & Telecommunication Engineering KIIT University, Bhubaneswar 751024 Odisha, India
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014) no. 3, pp. 211-214.

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

The Diophantine equation $A^2 + nB^4 = C^3$ has infinitely many integral solutions $A, B, C$ for any fixed integer $n$. The case $n = 0$ is trivial. By using a new polynomial identity we generate these solutions, and then give conditions when the solutions are pairwise co-prime.
DOI : 10.4064/ba62-3-2
Keywords: diophantine equation has infinitely many integral solutions fixed integer trivial using polynomial identity generate these solutions conditions solutions pairwise co prime

Susil Kumar Jena 1

1 Department of Electronics & Telecommunication Engineering KIIT University, Bhubaneswar 751024 Odisha, India 
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Susil Kumar Jena. Parametric Solutions of the Diophantine Equation $A^2 + nB^4 = C^3$. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014) no. 3, pp. 211-214. doi : 10.4064/ba62-3-2. http://geodesic.mathdoc.fr/articles/10.4064/ba62-3-2/

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