On the density of sumsets. II

DOI10.1017/S000497272300062XMaRDI QIDQ6564326

Paolo Leonetti, Salvatore Tringali

Publication date: 1 July 2024

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

sumsetsasymptotic densityBuck densityarithmetic quasidensitiesupper and lower densities.

Mathematics Subject Classification ID

Real- or complex-valued set functions (28A10) Functional inequalities, including subadditivity, convexity, etc. (39B62) Density, gaps, topology (11B05) Additive bases, including sumsets (11B13) Probability theory on algebraic and topological structures (60B99)

Cites Work

• Title not available (Why is that?)
• Upper and lower densities have the strong Darboux property
• On small sets of integers
• Highly sparse sets as additive complements for a prescribed density
• On the density of sumsets
• Highly spare sets as additive complements for a prescribed density: an open problem
• Additive complements for a given asymptotic density
• On the density or measure of sets and their sumsets in the integers or the circle
• Sumsets with prescribed lower and upper asymptotic densities
• On Uniform Distribution and the Density of Sum Sets
• On the notions of upper and lower density
• On the density of sumsets and product sets
• The Measure Theoretic Approach to Density

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