ON DISTRIBUTION OF THREE-TERM ARITHMETIC PROGRESSIONS IN SPARSE SUBSETS OF Fp
نویسنده
چکیده
We prove a version of Szemerédi’s regularity lemma for subsets of a typical random set in F p . As an application, a result on the distribution of three-term arithmetic progressions in sparse sets is discussed.
منابع مشابه
On the Distribution of Three-Term Arithmetic Progressions in Sparse Subsets of Fpn
We give a short proof for the following result on the distribution of three-term arithmetic progressions in sparse subsets of Fp : for every α > 0 there exists a constant C = C(α) such that the following holds for all r ≥ Cp and for almost all sets R of size r of Fp . Let A be any subset of R of size at least αr, then A contains a non-trivial three-term arithmetic progression. This is an analog...
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