一个无穷零和定理
An infinitary Zero sum theorem
摘要：
Erdens-Ginzburg-Ziv定理说，如果给定2n-1个数，则有n个数使得它们的和除以n。我们将把这个定理与拉姆齐理论大集合联系起来，并证明这个定理的一个无限版本。在我们的证明中，我们将使用超滤子的方法。但是可以使用拓扑动力学的方法进行。
英文摘要：
Erdős-Ginzburg-Ziv theorem says that if there are 2n-1 number is given, then there are n numbers such that their sum is divided by n. We will connect this theorem with the Ramsey theoretic large sets and will prove an infinitary version of this theorem. In our proof we will use the methods of ultrafilters. But one may proceed using methods of Topological dynamics.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
