Sums of three cubes, II

Published 6 Feb 2015 in math.NT | (1502.01944v1)

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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Authors (1)

Trevor D. Wooley

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