2017
DOI: 10.1007/978-3-319-68032-3_4
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Ramsey Theory Problems over the Integers: Avoiding Generalized Progressions

Abstract: Two well studied Ramsey-theoretic problems consider subsets of the natural numbers which either contain no three elements in arithmetic progression, or in geometric progression. We study generalizations of this problem, by varying the kinds of progressions to be avoided and the metrics used to evaluate the density of the resulting subsets.

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