Geodesic
On $A^{2} \pm nB^{4} + C^{4} = D^{8}$
Susil Kumar Jena1
1 Department of Electronics & Telecommunication Engineering KIIT University, Bhubaneswar 751024 Odisha, India
Colloquium Mathematicum, Tome 136 (2014) no. 2, pp. 255-257

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

We prove that for each $n\in \mathbb {N_{+}}$ the Diophantine equation $ A^2 \pm nB^4 + C^4 = D^8$ has infinitely many primitive integer solutions, i.e. solutions satisfying ${\rm gcd}(A, B, C, D) =1$.
DOI : 10.4064/cm136-2-6
Keywords: prove each mathbb diophantine equation has infinitely many primitive integer solutions solutions satisfying gcd

Susil Kumar Jena 1

1 Department of Electronics & Telecommunication Engineering KIIT University, Bhubaneswar 751024 Odisha, India 
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Susil Kumar Jena. On $A^{2} \pm nB^{4} + C^{4} = D^{8}$. Colloquium Mathematicum, Tome 136 (2014) no. 2, pp. 255-257. doi: 10.4064/cm136-2-6

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