Solution to the inverse problem for upper asymptotic density

DOI10.1515/CRELLE.2006.046zbMath1138.11045MaRDI QIDQ5479405

Renling Jin

Publication date: 7 July 2006

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

zbMATH Keywords

inverse problemsarithmetic progressionsum setupper asymptotic density

Mathematics Subject Classification ID

Density, gaps, topology (11B05) Additive bases, including sumsets (11B13) Nonstandard models in mathematics (03H05) Inverse problems of additive number theory, including sumsets (11P70)

Related Items (7)

Kneser’s theorem in -finite abelian groups ⋮ Kneser's theorem for upper Banach density ⋮ Freiman's inverse problem with small doubling property ⋮ Inverse problem for cuts ⋮ Some additive applications of the isoperimetric approach ⋮ Characterizing the structure of \(A+B\) when \(A+B\) has small upper Banach density ⋮ Plünnecke’s Theorem for asymptotic densities

Cites Work

• Addition of sets of integers of positive density
• Nonstandard methods for upper Banach density problems.
• On the minimal free resolution of $n+1$ general forms

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