Representing integers as a sum of three cubes

Jon Grantham; P. G. Walsh

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arXiv · 2211.12149

Representing integers as a sum of three cubes

Jon Grantham·P. G. Walsh

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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 $k=3$, 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.

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Jon Grantham, P. G. Walsh. 2022-11-22. Representing integers as a sum of three cubes. https://arxiv.org/abs/2211.12149

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