A generalization of an addition theorem of Kneser.

DOI10.1006/jnth.2002.2793zbMath1034.11020OpenAlexW2016248359MaRDI QIDQ1867416

Qing Xiang, Ka Hin Leung, Xiang-Dong Hou

Publication date: 2 April 2003

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

Full work available at URL: https://doi.org/10.1006/jnth.2002.2793

zbMATH Keywords

sumsets

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Additive bases, including sumsets (11B13)

Related Items (16)

Distance Sets on Circles ⋮ Additive combinatorics methods in associative algebras ⋮ Plünnecke and Kneser type theorems for dimension estimates ⋮ Classifications and constructions of minimum size linear sets on the projective line ⋮ Further constructions of large cyclic subspace codes via Sidon spaces ⋮ Matching subspaces in a field extension. ⋮ Multi-orbit cyclic subspace codes and linear sets ⋮ Constructions and equivalence of Sidon spaces ⋮ An analogue of Vosper's theorem for extension fields ⋮ Quasi-periodic decompositions and the Kemperman structure theorem ⋮ Revisiting Kneser's theorem for field extensions ⋮ On a vector space analogue of Kneser's theorem ⋮ On the product of vector spaces in a commutative field extension ⋮ Towards a function field version of Freiman's theorem ⋮ On linear versions of some addition theorems ⋮ An extension of the Erdős-Ginzburg-Ziv theorem to hypergraphs

Cites Work

• Abschätzung der asymptotischen Dichte von Summenmengen
• Two addition theorems
• New partial difference sets in \(\mathbb{Z}_{p^2}^t\) and a related problem about Galois rings
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