On additive doubling and energy

dc.creatorKatz, Nets Hawk
dc.creatorKoester, Paul
dc.date2008-02-29
dc.date.accessioned2026-07-07T09:24:04Z
dc.date.available2026-07-07T09:24:04Z
dc.descriptionWe show that if A is a set having small subtractive doubling in an abelian group, that is |A-A|< K|A|, then there is a polynomially large subset B of A-A so that the additive energy of B is large than (1/K)^{1 - ε) where epsilon is a positive, universal exponent. (1/37 seems to suffice.)
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0802.4371
dc.identifierhttp://arxiv.org/abs/0802.4371
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155960
dc.subjectCombinatorics
dc.subjectClassical Analysis and ODEs
dc.titleOn additive doubling and energy
dc.typetext

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