每个大于454的整数都是至多七个正立方数之和
数论
2016-12-14 v2
摘要
一个长期存在的猜想陈述：除15, 22, 23, 50, 114, 167, 175, 186, 212, 231, 238, 239, 303, 364, 420, 428, 454外，每个正整数都是至多七个正立方数之和。这首先由Jacobi于1851年基于著名计算家Zacharias Dase的广泛计算观察到。我们基于Linnik, Watson, McCurley, Ramaré, Boklan, Elkies等先前工作，完成了此猜想的证明。
引用
@article{arxiv.1505.00647,
title = {Every integer greater than 454 is the sum of at most seven positive cubes},
author = {Samir Siksek},
journal= {arXiv preprint arXiv:1505.00647},
year = {2016}
}
备注
A new and more polished version of the paper, which now includes a link to the accompanying programs