A lower bound for |{a+b: a\in A, b\in B, P(a,b)\not=0}|
Number Theory
2007-05-23 v1 Combinatorics
Abstract
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 .
Cite
@article{arxiv.math/0610892,
title = {A lower bound for |{a+b: a\in A, b\in B, P(a,b)\not=0}|},
author = {Hao Pan and Zhi-Wei Sun},
journal= {arXiv preprint arXiv:math/0610892},
year = {2007}
}
Comments
6 pages