On certain other sets of integers
Number Theory
2012-12-04 v2 Classical Analysis and ODEs
Abstract
We show that if A is a subset of {1,...,N} containing no non-trivial three-term arithmetic progressions then |A|=O(N/ log^{3/4-o(1)} N).
Keywords
Cite
@article{arxiv.1007.5444,
title = {On certain other sets of integers},
author = {Tom Sanders},
journal= {arXiv preprint arXiv:1007.5444},
year = {2012}
}
Comments
29 pp. Corrected typos. Added definitions for some non-standard notation and remarks on lower bounds