# Sums of three cubes, II

@article{Wooley2015SumsOT, title={Sums of three cubes, II}, author={Trevor D. Wooley}, journal={arXiv: Number Theory}, year={2015} }

Estimates are provided for $s$th moments of cubic smooth Weyl sums, when $4\le s\le 8$, by enhancing the author's iterative method that delivers estimates beyond classical convexity. As a consequence, an improved lower bound is presented for the number of integers not exceeding $X$ that are represented as the sum of three cubes of natural numbers.

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