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On the Erdős--Ginzburg--Ziv Problem for Znr\mathbb{Z}_n^r

Dongchun Han, Hanbin Zhang

Source record

Source: arXiv

Published: Oct 29, 2026

arXiv: 2610.40095

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Source abstract

The Erdős--Ginzburg--Ziv problem is a classical extremal problem in discrete geometry. We prove that, for all positive integers nn and rr, every sequence of 4rn4^r n lattice points in Zr\mathbb{Z}^r contains nn points whose centroid is again a lattice point.

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