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
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.