Sums of three cubes, II

@article{Wooley2015SumsOT,
  title={Sums of three cubes, II},
  author={Trevor D. Wooley},
  journal={arXiv: Number Theory},
  year={2015}
}
  • T. Wooley
  • Published 6 February 2015
  • Mathematics
  • arXiv: Number Theory
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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