广义 Fermat 方程 $x^2 + y^3 = z^{15}$
数论
2016-08-03 v2
摘要
我们确定了广义 Fermat 方程 的本原整数解集。正如预期，唯一的解是满足 的平凡解，以及非平凡解对 。
关键词
引用
@article{arxiv.1309.4421,
title = {The Generalised Fermat Equation x^2 + y^3 = z^15},
author = {Samir Siksek and Michael Stoll},
journal= {arXiv preprint arXiv:1309.4421},
year = {2016}
}
备注
The paper is slightly shorter. Specifically, in the notation of the paper, we are now able to carry out Chabauty on the curve C_{3,0}. This allows us to eliminate a lengthy elliptic curve Chabauty computation