An infinitary Zero sum theorem
Combinatorics
2022-02-03 v1
Abstract
Erd\H{o}s-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.
Cite
@article{arxiv.2202.01070,
title = {An infinitary Zero sum theorem},
author = {Sayan Goswami},
journal= {arXiv preprint arXiv:2202.01070},
year = {2022}
}