A single set improvement to the \(3k - 4\) theorem

DOI10.1016/j.jnt.2020.03.007zbMath1462.11085arXiv1911.12858OpenAlexW3021563561MaRDI QIDQ2187135

David J. Grynkiewicz

Publication date: 2 June 2020

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.12858

zbMATH Keywords

arithmetic progressionsumsetFreiman's theorem\(3 k - 4\) theoreminverse additive

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Additive bases, including sumsets (11B13) Inverse problems of additive number theory, including sumsets (11P70)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Properties of two-dimensional sets with small sumset
• Addendum to ``Structure theorem for multiple addition
• Iterated sumsets and subsequence sums
• On the extremal aspect of the Frobenius problem
• Structure theorem for multiple addition and the Frobenius problem
• Structural additive theory. Based on courses given at Karl-Franzens-Universität Graz, Austria, 2008--2012
• Freiman's inverse problem with small doubling property
• CRITICAL PAIRS IN ABELIAN GROUPS AND KEMPERMAN'S STRUCTURE THEOREM
• Long Arithmetic Progressions in Small Sumsets
• Inverse Additive Number Theory. XI. Long arithmetic progressions in sets with small sumsets
• On addition of two sets of integers
• On addition of two distinct sets of integers
• On addition of two distinct sets of integers
• A proof of a conjecture of Lev
• On Freiman’s 3k − 4 Theorem

This page was built for publication: A single set improvement to the \(3k - 4\) theorem