论文标题
塔里 - 埃索特（Tarry-Escott）的理想解决方案第七学位问题
Ideal solutions of the Tarry-Escott Problem of degree seven
论文作者
论文摘要
在本文中，我们获得了塔里 - 埃斯科特第7级问题的四个新的参数理想解决方案，即同时的双苯胺方程，$ \ sum_ {i = 1}^8x_i^r = \ sum_ = \ sum_ {i = 1}虽然该问题的所有已知参数解（除一个例外）均由多项式$ \ geq 5 $给出，但本文获得的解决方案由四分之一的多项式提供，因此比几乎所有已知的解决方案都更简单。
In this paper we obtain four new parametric ideal solutions of the Tarry-Escott problem of degree 7, that is, of the simultaneous diophantine equations, $\sum_{i=1}^8x_i^r=\sum_{i=1}^8y_i^r,\;r=1,\,2,\,\dots,\,7$. While all the known parametric solutions of the problem, with one exception, are given by polynomials of degrees $ \geq 5$, the solutions obtained in this paper are given by quartic polynomials, and are thus simpler than almost all of the known solutions.
