A lower bound for |{a+b: a\in A, b\in B, P(a,b)\not=0}|

dc.creatorPan, Hao
dc.creatorSun, Zhi-Wei
dc.date2006-10-29
dc.date.accessioned2026-07-07T07:29:35Z
dc.date.available2026-07-07T07:29:35Z
dc.descriptionLet A and B be two finite subsets of a field F. In this paper we provide a nontrivial lower bound for |{a+b: a in A, b in B, and P(a,b) not=0}| where $P(x,y)\in F[x,y]$.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0610892
dc.identifierhttp://arxiv.org/abs/math/0610892
dc.identifierJ. Combin. Theory Ser. A 100(2002), 387-393
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118164
dc.subjectNumber Theory
dc.subjectCombinatorics
dc.subject11B75; 05A05; 11C08
dc.titleA lower bound for |{a+b: a\in A, b\in B, P(a,b)\not=0}|
dc.typetext

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