论文标题

代表整数作为三个立方体的总和

Representing integers as a sum of three cubes

论文作者

Grantham, Jon, Walsh, P. G.

论文摘要

在本文中,我们进一步开发了将整数表示为三个立方体的总和。特别是,克服了第二作者的先前论文中概述的解决案例$ k = 3 $的障碍。最新的计算表明,就时间估计而言,该方法对其他方法非常有利。目前未解决的案例正在进行此处介绍的方法和上一篇论文中的方法的混合体。

In this article we further develop methods for representing integers as a sum of three cubes. In particular, a barrier to solving the case $k=3$, which was outlined in a previous paper of the second author, is overcome. A very recent computation indicates that the method is quite favourable to other methods in terms of time estimates. A hybrid of the method presented here and those in a previous paper is currently underway for unsolved cases.

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