On Waring's problem in sums of three cubes
Number Theory
2020-12-17 v2
Abstract
We investigate the asymptotic formula for the number of representations of a large positive integer as a sum of -th powers of integers represented as the sums of three positive cubes, counted with multiplicities. We also obtain a lower bound for the number of representations when the sums of three cubes are counted without multiplicities.
Cite
@article{arxiv.2010.14536,
title = {On Waring's problem in sums of three cubes},
author = {Javier Pliego},
journal= {arXiv preprint arXiv:2010.14536},
year = {2020}
}
Comments
21 pages, minor linguistic modifications, to appear in Mathematika