Roth's theorem in Z_4^n
Combinatorics
2015-03-13 v2 Classical Analysis and ODEs
Abstract
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).
Cite
@article{arxiv.0807.5101,
title = {Roth's theorem in Z_4^n},
author = {Tom Sanders},
journal= {arXiv preprint arXiv:0807.5101},
year = {2015}
}
Comments
24 pp. Corrected typos. Updated references. Minor revisions.