Some nonstandard methods in combinatorial number theory

DOI10.1007/BF00370556zbMath0675.03042MaRDI QIDQ1121886

Steven C. Leth

Publication date: 1989

Published in: Studia Logica (Search for Journal in Brave)

zbMATH Keywords

Lebesgue density theorembounded gapsinternal measureinternal subset

Mathematics Subject Classification ID

Nonstandard models of arithmetic (03H15) Nonstandard arithmetic (number-theoretic aspects) (11U10)

Related Items

Nonstandard methods for upper Banach density problems. ⋮ Applications of Nonstandard Analysis in Additive Number Theory ⋮ Sequences in countable nonstandard models of the natural numbers ⋮ Subsets of virtually nilpotent groups with the SBM property ⋮ On Supra-SIM Sets of Natural Numbers ⋮ Inverse problem for cuts ⋮ Near arithmetic progressions in sparse sets

Cites Work

• Sequences in countable nonstandard models of the natural numbers
• The strength of nonstandard methods in arithmetic
• Applications of Nonstandard Models and Lebesgue Measure to Sequences of Natural Numbers
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