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

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dc.creatorHegarty, Peter
dc.date2007-06-19
dc.date.accessioned2026-07-07T08:11:04Z
dc.date.available2026-07-07T08:11:04Z
dc.descriptionWe 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.
dc.description26 pages, no figures
dc.identifierhttps://arxiv.org/abs/0706.2782
dc.identifierhttp://arxiv.org/abs/0706.2782
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132009
dc.subjectNumber Theory
dc.subjectCombinatorics
dc.subject11B75, 11P70
dc.titleExtremal subsets of {1,...,n} avoiding solutions to linear equations in three variables
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