论文标题

关于Waring的问题,三块的总和

On Waring's problem in sums of three cubes

论文作者

Pliego, Javier

论文摘要

我们研究了大型正整数的表示数量的渐近公式,即$ k $ th的整数幂,表示为三个正立方体的总和,并计算出多重性。当对三个立方体的总和计算而没有多重性时,我们还获得了表示形式数量的下限。

We investigate the asymptotic formula for the number of representations of a large positive integer as a sum of $k$-th powers of integers represented as the sums of three positive cubes, counted with multiplicities. We also obtain a lower bound for the number of representations when the sums of three cubes are counted without multiplicities.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源