论文标题
受Brahmagupta的身份启发的四分之一的双方方程
A quartic diophantine equation inspired by Brahmagupta's identity
论文作者
论文摘要
在本文中，我们获得了四分之一的二磷剂方程的参数解决方案$（x_1^4+x_2^4）（y_1^4+y_2^4）= z_1^4+z_2^4 $。我们还展示了如何通过使用椭圆曲线获得该方程的许多参数解。
In this paper we obtain several parametric solutions of the quartic diophantine equation $(x_1^4+x_2^4)(y_1^4+y_2^4)=z_1^4+z_2^4$. We also show how infinitely many parametric solutions of this equation may be obtained by using elliptic curves.
