On Kemnitz' Conjecture Concerning Lattice Points in the Plane
Number Theory
2016-03-22 v1
Abstract
In 1961, P. Erd\H{o}s, A. Ginzburg, and A. Ziv proved a remarkable theorem stating that each set of integers contains a subset of size , the sum of whose elements is divisible by . We will prove a similar result for pairs of integers, i.e., planar lattice points, usually referred to as Kemnitz' conjecture.
Cite
@article{arxiv.1603.06161,
title = {On Kemnitz' Conjecture Concerning Lattice Points in the Plane},
author = {Christian Reiher},
journal= {arXiv preprint arXiv:1603.06161},
year = {2016}
}