%0 Journal Article
%T Difference sets and Polynomials of prime variables
%A Hongze Li
%A Hao Pan
%J Mathematics
%D 2007
%I arXiv
%X Let \psi(x) be a polynomial with rational coefficients. Suppose that \psi has the positive leading coefficient and zero constant term. Let A be a set of positive integers with the positive upper density. Then there exist x,y\in A and a prime p such that x-y=\psi(p-1). Furthermore, if P be a set of primes with the positive relative upper density, then there exist x,y\in P and a prime p such that x-y=\psi(p-1).
%U http://arxiv.org/abs/0709.1758v3