论文标题
在最小的开放式方程式上
On the smallest open Diophantine equations
论文作者
论文摘要
本文报告了该项目的当前状态,在该状态下,我们通过适当的“大小”版本订购所有多项式双智力方程,然后按该顺序求解方程。我们列出了当前不受限制的“最小”方程式,包括最小的开放对称性,2-变量或3间程方程。我们讨论的所有方程式都非常简单地写下,但是其中一些方程式似乎很难解决。
This paper reports on the current status of the project in which we order all polynomial Diophantine equations by an appropriate version of "size", and then solve the equations in that order. We list the "smallest" equations that are currently open, both unrestricted and in various families, like the smallest open symmetric, 2-variable or 3-monomial equations. All the equations we discuss are amazingly simple to write down but some of them seem to be very difficult to solve.