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arXiv · 1006.5142

On Waring's Problem: Two Cubes and Two Minicubes

Siu-lun Alan Lee
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Abstract

We establish that almost every positive integer $n$ is the sum of four cubes, two of which are at most $n^{\theta}$, as long as $\theta\geq192/869$. An asymptotic formula for the number of such representations is established when $1/4<\theta<1/3$.

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Siu-lun Alan Lee. 2010-06-26. On Waring's Problem: Two Cubes and Two Minicubes. https://arxiv.org/abs/1006.5142

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