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

On the Distribution of Three-Term Arithmetic Progressions in Sparse Subsets of Fpn

On the Distribution of Three-Term Arithmetic Progressions in Sparse Subsets of F_pⁿ