Applications of Nonstandard Models and Lebesgue Measure to Sequences of Natural Numbers

DOI10.2307/2001183zbMath0653.10050OpenAlexW4251308145MaRDI QIDQ3798751

Steven C. Leth

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2001183

zbMATH Keywords

theorem of Steinhausdensity functionscombinatorial number theorynonstandard methods

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Special sequences and polynomials (11B83) Nonstandard analysis (26E35) Nonstandard arithmetic (number-theoretic aspects) (11U10)

Related Items (7)

Nonstandard methods for upper Banach density problems. ⋮ Sequences in countable nonstandard models of the natural numbers ⋮ Some nonstandard methods in combinatorial number theory ⋮ Long-range trap models on \(\mathbb Z\) and quasistable processes ⋮ Inverse problem for cuts ⋮ Near arithmetic progressions in sparse sets ⋮ High density piecewise syndeticity of sumsets

Cites Work

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• Sequences in countable nonstandard models of the natural numbers
• On a problem of P. Erdös
• Lectures on non-standard analysis
• The strength of nonstandard methods in arithmetic

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