Applications of Nonstandard Analysis in Additive Number Theory

DOI10.2307/421059zbMath1071.11502OpenAlexW2134405728MaRDI QIDQ4527936

Renling Jin

Publication date: 5 July 2001

Published in: Bulletin of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: http://www.math.ucla.edu/~asl/bsl/0603-toc.htm

Mathematics Subject Classification ID

Density, gaps, topology (11B05) Additive bases, including sumsets (11B13) Nonstandard models of arithmetic (03H15)

Related Items (4)

Distribution of Missing Sums in Sumsets ⋮ \(\mathcal{I}_c^{(q)}\)-convergence of arithmetical functions ⋮ Alpha-theory: An elementary axiomatics for nonstandard analysis ⋮ Near arithmetic progressions in sparse sets

Cites Work

• Sequences in countable nonstandard models of the natural numbers
• Some nonstandard methods in combinatorial number theory
• On the strength of nonstandard analysis
• Meager sets on the hyperfinite time line
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