On Waring's Problem: Two Cubes and Two Minicubes

Details On Waring's Problem: Two Cubes and Two Minicubes On Waring's Problem: Two Cubes and Two Minicubes

2010-06-26

arxiv.org/abs/1006.5142v1

Mathematics

Number Theory

Scientific paper

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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