Large subsets of \(\mathbb{Z}_m^n\) without arithmetic progressions

DOI10.1007/s10623-022-01145-wOpenAlexW4311468491MaRDI QIDQ2697487

Benjamin Klahn, Gabriel F. Lipnik, Christian Elsholtz

Publication date: 12 April 2023

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.02588

zbMATH Keywords

arithmetic progressionsprogression-free setsbehrend-type construction

Mathematics Subject Classification ID

Extremal set theory (05D05) Finite abelian groups (20K01) Arithmetic progressions (11B25)

Cites Work

• Unnamed Item
• On large subsets of \(\mathbb{F}_q^n\) with no three-term arithmetic progression
• On subsets of \(\mathbb F_q^n\) containing no \(k\)-term progressions
• Extensions of generalized product caps
• Caps and progression-free sets in \(\mathbb{Z}_m^n\)
• On sets of integers containing k elements in arithmetic progression
• On Certain Sets of Integers
• On Sets of Integers Which Contain No Three Terms in Arithmetical Progression

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