On sequences of positive integers having no $p$ terms in arithmetic progression

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dc.creatorPal, Goutam
dc.date2007-03-15
dc.date.accessioned2026-07-07T07:52:07Z
dc.date.available2026-07-07T07:52:07Z
dc.descriptionWe use topological ideas to show that, assuming the conjecture of Erd\"(o)s on subsets of positive integers having no $p$ terms in arithmetic progression (A. P.), there must exist a subset $M_p$ of positive integers with no $p$ terms in A. P. with the property that among all such subsets, $M_p$ maximizes the sum of the reciprocals of its elements.
dc.identifierhttps://arxiv.org/abs/math/0703467
dc.identifierhttp://arxiv.org/abs/math/0703467
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125765
dc.subjectNumber Theory
dc.titleOn sequences of positive integers having no $p$ terms in arithmetic progression
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