方程$(x+y)^2+(y+z)^2+(z+x)^2=12xyz$的正整数解
数论
2022-09-20 v4 组合数学
摘要
本文给出了描述丢番图方程正整数解的一种具体方式,并引入了其背后的一类广义簇模式。
引用
@article{arxiv.2109.09639,
title = {Positive integer solutions to $(x+y)^2+(y+z)^2+(z+x)^2=12xyz$},
author = {Yasuaki Gyoda},
journal= {arXiv preprint arXiv:2109.09639},
year = {2022}
}
备注
Addition of Remark 1.4, which explain the history of discovering of Theorem 1.1, correction of the equation (3.2), replacement of Example 3.7, 3.11 to be related to Example 3.6, 14 pages