English

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

Combinatorics 2010-04-23 v2

Abstract

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.

Keywords

Cite

@article{arxiv.0905.3890,
  title  = {On distribution of three-term arithmetic progressions in sparse subsets of F_p^n},
  author = {Hoi H. Nguyen},
  journal= {arXiv preprint arXiv:0905.3890},
  year   = {2010}
}

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16 pages