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

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

2006-10-29

arxiv.org/abs/math/0610892v1

J. Combin. Theory Ser. A 100(2002), 387-393

Mathematics

Number Theory

6 pages

Scientific paper

Let 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
$P(x,y)\in F[x,y]$.

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