Extremal subsets of {1,...,n} avoiding solutions to linear equations in three variables
Number Theory
2007-06-20 v1 Combinatorics
Abstract
We refine previous results to provide examples, and in some cases precise classifications, of extremal subsets of {1,...,n} containing no solutions to a wide class of non-invariant, homogeneous linear equations in three variables, i.e.: equations of the form ax+by=cz with a+b \neq c.
Cite
@article{arxiv.0706.2782,
title = {Extremal subsets of {1,...,n} avoiding solutions to linear equations in three variables},
author = {Peter Hegarty},
journal= {arXiv preprint arXiv:0706.2782},
year = {2007}
}