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arXiv · 1502.01944

Sums of three cubes, II

Trevor D. Wooley
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Abstract

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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Trevor D. Wooley. 2015-02-06. Sums of three cubes, II. https://doi.org/10.4064/aa170-1-6

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