Maximal subsets free of arithmetic progressions in arbitrary sets


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详细

The problem of determining the maximum cardinality of a subset containing no arithmetic progressions of length k in a given set of size n is considered. It is proved that it is sufficient, in a certain sense, to consider the interval [1,..., n]. The study continues the work of Komlós, Sulyok, and Szemerédi.

作者简介

A. Semchankau

Moscow Institute of Physics and Technology (State University)

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