A combinatorially large cell of a partition of N (Q1101113)
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scientific article; zbMATH DE number 4045752
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A combinatorially large cell of a partition of N |
scientific article; zbMATH DE number 4045752 |
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A combinatorially large cell of a partition of N (English)
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1988
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The authors prove that any partition of the natural numbers into finitely many cells contains a cell satisfying all of ten conditions. In particular, this cell simultaneously contains arbitrarily long arithmetic progressions and contains solutions to all partition regular systems of homogeneous linear equations.
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partition
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natural numbers
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arithmetic progressions
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