论文标题

欧拉(Euler)和出租车的关系和其他数字可以写成两次,作为两个立方体整数的总和

Euler's and the Taxi Cab relations and other numbers that can be written twice as sums of two cubed integers

论文作者

Pletser, Vladimir

论文摘要

我们表明,Euler的关系和出租车的关系都是同一方程式的解决方案。计算两个连续两根立方体总和等于其他两个立方体的总和的通用解决方案。在两个连续的立方体的总和和另外两个立方体的总和中,有两个家庭的总和之间有无限的关系。计算它们的递归和参数方程。

We show that Euler's relation and the Taxi-Cab relation are both solutions of the same equation. General solutions of sums of two consecutive cubes equaling the sum of two other cubes are calculated. There is an infinite number of relations to be found among the sums of two consecutive cubes and the sum of two other cubes, in the form of two families. Their recursive and parametric equations are calculated.

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