On distribution of three-term arithmetic progressions in sparse subsets of F_p^n

Details On distribution of three-term arithmetic progressions in sparse subsets of F_p^n On distribution of three-term arithmetic progressions in sparse subsets of F_p^n

2009-05-24

arxiv.org/abs/0905.3890v2

Mathematics

Combinatorics

16 pages

Scientific paper

We prove a version of Szemeredi's regularity lemma for subsets of a typical
random set in F_p^n. As an application, a result on the distribution of
three-term arithmetic progressions in sparse sets is discussed.

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