On Non-intersecting Arithmetic Progressions

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dc.creatorCroot, Ernie
dc.date2002-08-30
dc.date.accessioned2026-07-07T04:50:27Z
dc.date.available2026-07-07T04:50:27Z
dc.descriptionWe prove that if one has k non-intersecting arithmetic progressions of integers, with common differences 2 <= q_1,...,q_k <= x, then k < x exp((-1/6 + o(1)) sqrt(log x loglog x)). This improves a result of Szemeredi and Erdos.
dc.descriptionSubmitted
dc.identifierhttps://arxiv.org/abs/math/0208236
dc.identifierhttp://arxiv.org/abs/math/0208236
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64802
dc.subjectCombinatorics
dc.subjectNumber Theory
dc.subject05D99
dc.titleOn Non-intersecting Arithmetic Progressions
dc.typetext

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