A quartic diophantine equation inspired by Brahmagupta's identity

2020/10/16 by Ajai Choudhry, Choudhry, Ajai, Iliya Bluskov +3
Mathematics · #11D25 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11D25

paper · pdf · doi:10.48550/arxiv.2010.08133

7 pages

arxiv created 2020/10/16 · arxiv updated 2020/10/19

Abstract

In this paper we obtain several parametric solutions of the quartic diophantine equation (x₁⁴+x₂⁴)(y₁⁴+y₂⁴)=z₁⁴+z₂⁴. We also show how infinitely many parametric solutions of this equation may be obtained by using elliptic curves.

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