The structure of \(d\)-dimensional sets with small sumset

DOI10.1016/j.jnt.2009.08.004zbMath1255.11049OpenAlexW2015513306MaRDI QIDQ1048929

Yonutz V. Stanchescu

Publication date: 8 January 2010

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.08.004

zbMATH Keywords

arithmetic progressionssmall doubling propertysum setinverse additive number theory

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Discrete geometry (52C99) Inverse problems of additive number theory, including sumsets (11P70)

Related Items

Small doubling in ordered nilpotent groups of class 2 ⋮ On the structure of subsets of an orderable group with some small doubling properties ⋮ Direct and inverse problems in additive number theory and in non-abelian group theory ⋮ Sets in \(\mathbb{Z}^k\) with doubling \(2^k + \delta\) are near convex progressions ⋮ A small doubling structure theorem in a Baumslag-Solitar group ⋮ Small doubling in $m$-Engel groups ⋮ Groups with numerical restrictions on minimal generating sets ⋮ Additive Volume of Sets Contained in Few Arithmetic Progressions

Cites Work

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• Three-dimensional sets with small sumset
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• COMPRESSIONS, CONVEX GEOMETRY AND THE FREIMAN–BILU THEOREM
• On the structure of sets with small doubling property on the plane (I)
• Structure Theory of Set Addition III. Results and Problems

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