Answers to two questions posed by Farhi concerning additive bases

DOI10.1016/j.jnt.2009.06.005zbMath1218.11011arXiv0904.1871OpenAlexW1971493091MaRDI QIDQ1035593

Peter V. Hegarty

Publication date: 4 November 2009

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

Full work available at URL: https://arxiv.org/abs/0904.1871

zbMATH Keywords

Kneser's theoremadditive basis

Mathematics Subject Classification ID

Additive bases, including sumsets (11B13) Representation functions (11B34)

Cites Work

• Unnamed Item
• Upper bounds for the order of an additive basis obtained by removing a finite subset of a given basis
• Cofinite subsets of asymptotic bases for the positive integers
• Exact order of subsets of asymptotic bases in additive number theory
• Addition of sets of integers of positive density
• On Erdős and Graham's \(X\) function.
• Some applications of a theorem of M. Kneser
• The Postage Stamp Problem and Essential Subsets in Integer Bases
• Generating abelian groups by addition only
• On the bases with an exact order
• Extremal Problems in the Construction of Distributed Loop Networks

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