Siu-lun Alan Lee
Published 2010-06-26Version 1
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 $1/4<\theta<1/3$.
On the asymptotic formula of L'(1, χ)
Asymptotics for numbers of line segments and lines in a square grid
Asymptotic formula for sum-free sets in abelian groups
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