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arXiv · 1603.06161

On Kemnitz' Conjecture Concerning Lattice Points in the Plane

Christian Reiher
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Abstract

In 1961, P. Erdős, A. Ginzburg, and A. Ziv proved a remarkable theorem stating that each set of $2n-1$ integers contains a subset of size $n$, the sum of whose elements is divisible by $n$. We will prove a similar result for pairs of integers, i.e., planar lattice points, usually referred to as Kemnitz' conjecture.

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Christian Reiher. 2016-03-19. On Kemnitz' Conjecture Concerning Lattice Points in the Plane. https://doi.org/10.1007/s11139-006-0256-y

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