Difference sets and Polynomials of prime variables
Difference sets and Polynomials of prime variables
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DOI：
10.4064/aa138-1-2
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发表时间：
2007-09
期刊：
影响因子：
--
通讯作者：
Hongze Li;H. Pan
中科院分区：
文献类型：
--
作者：
Hongze Li;H. Pan
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).
