论文标题
在$ \ mathbb z [i] $上的diophantine方程式上，$ 52 $未知
On Diophantine equations over $\mathbb Z[i]$ with $52$ unknowns
论文作者
论文摘要
在本文中，我们表明，没有算法可以确定一个任意给定的多项式方程$ p（z_1，\ ldots，z_ {52}）= 0 $（带有高斯环$ \ mathbb z [i] $上的$（带有整数系数）。
In this paper we show that there is no algorithm to decide whether an arbitrarily given polynomial equation $P(z_1,\ldots,z_{52})=0$ (with integer coefficients) over the Gaussian ring $\mathbb Z[i]$ is solvable.
