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A Lower Bound for ∣{a+b:a∈A, b∈B, and P(a,b)≠0}∣

By Hao Pan and Zhi-Wei Sun

Abstract

AbstractLet A and B be two finite subsets of a field F. In this paper, we provide a non-trivial lower bound for ∣{a+b:a∈A, b∈B, and P(a,b)≠0}∣ where P(x,y)∈F[x,y]

Publisher: Elsevier Science (USA).
Year: 2002
DOI identifier: 10.1006/jcta.2002.3294
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