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Bibliographic Details
Main Authors: Schlage-Puchta, Jan-Christoph
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2509.02436
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Table of Contents:
  • Let $p$ be a prime number, $a_1, a_2, \ldots a_{4p-4}$ a sequence of elements in $(\mathbb{Z}/p\\mathbb{Z})^2$, which does not contain a subsequence of length $p$ which adds up to 0. We show that if $p$ is sufficiently large, then the sequence contains exactly four different elements.