论文标题
康威（Conway）在莫德尔（Mordell）的阴影下的光
Conway's light on the shadow of Mordell
论文作者
论文摘要
最近，Valentin Ovsienko推出了著名的马尔可夫三元组的``影子版本''，作为Markov方程的某些版本的解决方案。二进制二进制形式。
Recently Valentin Ovsienko introduced a ``shadow" version of the celebrated Markov triples as the solutions of certain version of Markov equation over dual numbers. We will discuss similar question for the Mordell Diophantine equation $$ X^2+Y^2+Z^2=2XYZ+1. $$ We will see that the shadows of the special solution $(1,1,1)$ can be described using the original Conway topograph of the values of binary quadratic forms. The shadows of other Mordell triples will be written explicitly in terms of the corresponding solutions of Pell's equation. Their growth along the paths on the Conway topograph is described in terms of the Lyapunov function of the Euclid tree.
