On the Five-Point Case of Mordell's Problem

Tiancheng Xu, Guowei Dou, Wensheng Yu

For five complex points $z_1,\dots ,z_5$ satisfying ${\sum }_i|z_i{|}^2=5$, Mordell's discriminant inequality states that ${\prod }_{i<j}|z_i-z_j{|}^2\le 5^5$, with equality precisely for a…