Extremal subsets of {1,...,n} avoiding solutions to linear equations in three variables

Details Extremal subsets of {1,...,n} avoiding solutions to linear equations in three variables Extremal subsets of {1,...,n} avoiding solutions to linear equations in three variables

2007-06-19

arxiv.org/abs/0706.2782v1

Mathematics

Number Theory

26 pages, no figures

Scientific paper

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.

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