English

Representing integers as a sum of three cubes

Number Theory 2022-11-23 v1

Abstract

In this article we further develop methods for representing integers as a sum of three cubes. In particular, a barrier to solving the case k=3k=3, which was outlined in a previous paper of the second author, is overcome. A very recent computation indicates that the method is quite favourable to other methods in terms of time estimates. A hybrid of the method presented here and those in a previous paper is currently underway for unsolved cases.

Keywords

Cite

@article{arxiv.2211.12149,
  title  = {Representing integers as a sum of three cubes},
  author = {Jon Grantham and P. G. Walsh},
  journal= {arXiv preprint arXiv:2211.12149},
  year   = {2022}
}

Comments

4 pages

R2 v1 2026-06-28T06:34:31.833Z