A taste of nonstandard methods in combinatorics of numbers

DOI10.1007/978-88-7642-525-7_3zbMath1391.05052arXiv1312.5059OpenAlexW1586432636MaRDI QIDQ3194865

Mauro Di Nasso

Publication date: 20 October 2015

Published in: Geometry, Structure and Randomness in Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.5059

zbMATH Keywords

Ramsey theorycombinatorial number theorynonstandard methods

Mathematics Subject Classification ID

Enumerative combinatorics (05A99) Density, gaps, topology (11B05) Nonstandard models in mathematics (03H05) Nonstandard arithmetic (number-theoretic aspects) (11U10)

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Ramsey theory for layered semigroups ⋮ On Rado conditions for nonlinear Diophantine equations ⋮ Ramsey properties of nonlinear Diophantine equations ⋮ \(\mathcal {F}\)-finite embeddabilities of sets and ultrafilters

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