A lower bound for vertical bar{a+b : a is an element of A,b is an element of B,P(a,b)not equal 0}vertical bar

摘要

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 epsilon A, b epsilon B, and P(a, b) not equal 0} where P(x, y) epsilon F[x, y]. (C) 2002 Elsevier Science (USA). [References: 9]