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

Hao Pan; Zhi-Wei Sun

arxiv: math/0610892 · v1 · submitted 2006-10-29 · 🧮 math.NT · math.CO

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

Hao Pan , Zhi-Wei Sun This is my paper

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keywords boundlowerfieldfinitenontrivialsubsets

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

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