Sums of three cubes, II
Number Theory
2023-06-01 v1
Abstract
Estimates are provided for th moments of cubic smooth Weyl sums, when , 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 that are represented as the sum of three cubes of natural numbers.
Keywords
Cite
@article{arxiv.1502.01944,
title = {Sums of three cubes, II},
author = {Trevor D. Wooley},
journal= {arXiv preprint arXiv:1502.01944},
year = {2023}
}
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25 pages