English

A quartic diophantine equation inspired by Brahmagupta's identity

Number Theory 2020-10-19 v1

Abstract

In this paper we obtain several parametric solutions of the quartic diophantine equation (x14+x24)(y14+y24)=z14+z24(x_1^4+x_2^4)(y_1^4+y_2^4)=z_1^4+z_2^4. We also show how infinitely many parametric solutions of this equation may be obtained by using elliptic curves.

Keywords

Cite

@article{arxiv.2010.08133,
  title  = {A quartic diophantine equation inspired by Brahmagupta's identity},
  author = {Ajai Choudhry and Iliya Bluskov and Alexander James},
  journal= {arXiv preprint arXiv:2010.08133},
  year   = {2020}
}

Comments

7 pages

R2 v1 2026-06-23T19:23:36.136Z