Hilbert cubes in progression-free sets and in the set of squares

DOI10.1007/s11856-012-0047-7zbMath1347.11013arXiv1207.1461OpenAlexW2060951592MaRDI QIDQ1932651

Christian Elsholtz, Rainer Dietmann

Publication date: 21 January 2013

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.1461

zbMATH Keywords

Hilbert cubesGowers' uniformity norm

Mathematics Subject Classification ID

Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (4)

Hilbert cubes in arithmetic sets ⋮ Hilbert cubes meet arithmetic sets ⋮ Sumsets being squares ⋮ On Hilbert cubes and primitive roots in finite fields

Cites Work

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• Quasi-progressions and descending waves
• On Hilbert cubes in certain sets
• Subset sum ``cubes and the complexity of primality testing
• On a problem of Diophantus
• Subset sums avoiding quadratic nonresidues
• On sets of integers containing no four elements in arithmetic progression
• A new proof of Szemerédi's theorem

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