Roth's theorem in Z_4^n

Details Roth's theorem in Z_4^n Roth's theorem in Z_4^n

2008-07-31

arxiv.org/abs/0807.5101v2

Anal. PDE 2 (2009), no. 2, 211-234

Mathematics

Combinatorics

24 pp. Corrected typos. Updated references. Minor revisions.

Scientific paper

10.2140/apde.2009.2.211

We show that if A is a subset of Z_4^n containing no three-term arithmetic
progression in which all the elements are distinct then |A|=o(4^n/n).

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