Arithmetic structures in random sets

Simple item page
dc.creatorHamel, Mariah
dc.creatorLaba, Izabella
dc.date2007-03-26
dc.date.accessioned2026-07-07T07:53:54Z
dc.date.available2026-07-07T07:53:54Z
dc.descriptionWe extend two well-known results in additive number theory, Sárközy's theorem on square differences in dense sets and a theorem of Green on long arithmetic progressions in sumsets, to subsets of random sets of asymptotic density 0. Our proofs rely on a restriction-type Fourier analytic argument of Green and Green-Tao.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0703749
dc.identifierhttp://arxiv.org/abs/math/0703749
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126401
dc.subjectNumber Theory
dc.subjectCombinatorics
dc.titleArithmetic structures in random sets
dc.typetext

Files

Collections

arXiv