Sums of three cubes, II
Volume 170 / 2015
Acta Arithmetica 170 (2015), 73-100
MSC: 11P05, 11L15, 11P55.
DOI: 10.4064/aa170-1-6
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.
