Correlation estimates for sums of three cubes
Number Theory
2023-02-28 v2
Abstract
We establish estimates for linear correlation sums involving sums of three positive integral cubes. Under appropriate conditions, the underlying methods permit us to establish the solubility of systems of homogeneous linear equations in sums of three positive cubes whenever these systems have more than twice as many variables as equations.
Keywords
Cite
@article{arxiv.1404.3846,
title = {Correlation estimates for sums of three cubes},
author = {Joerg Bruedern and Trevor D. Wooley},
journal= {arXiv preprint arXiv:1404.3846},
year = {2023}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1304.5165 25pp; Revisions to sections 2 and 3 to address referee comments