ARITHMETIC PROGRESSIONS IN SUMSETS AND DIFFERENCE SETS

DOI10.1142/S1793042112501503zbMath1332.11011MaRDI QIDQ4918849

Shu-Yuan Mei, Yong-Gao Chen

Publication date: 6 May 2013

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

zbMATH Keywords

difference setssumsetsarithmetic progressionsSzemerédi's theorem

Mathematics Subject Classification ID

Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Arithmetic progressions (11B25)

Cites Work

• Optimal representations by sumsets and subset sums
• Arithmetic structure in sparse difference sets
• An ergodic Szemerédi theorem for commuting transformations
• Blocks and progressions in subset sum sets
• Arithmetic progressions in sumsets
• A new proof of Szemerédi's theorem