Geometric progressions in syndetic sets

DOI10.1007/s00013-020-01488-7zbMath1480.11014arXiv2003.12016OpenAlexW3034736110MaRDI QIDQ5918940

Melvyn B. Nathanson

Publication date: 10 September 2020

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.12016

zbMATH Keywords

Pell's equationDiophantine equationsgeometric progressionssyndetic sets

Mathematics Subject Classification ID

Quadratic extensions (11R11) Quadratic and bilinear Diophantine equations (11D09) Other combinatorial number theory (11B75) Density, gaps, topology (11B05)

Related Items (3)

Multiplicative patterns in syndetic sets ⋮ Divisibility of finite geometric series ⋮ On the structure of the \(h\)-fold sumsets

Cites Work

• Multiplicative structures in additively large sets
• Multiplicative combinatorial properties of return time sets in minimal dynamical systems
• Irrational numbers associated to sequences without geometric progressions
• A problem of Rankin on sets without geometric progressions
• Primitive and geometric-progression-free sets without large gaps
• On sequences without geometric progressions
• Geometric progressions in syndetic sets

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