4 papers
math.NT2008
A Schur-type addition theorem for primes
Hongze Li, Hao Pan
Suppose that all primes are colored with k colors. Then there exist monochromatic primes p1, p2, p3 such that p1+p2=p3+1.
math.NT2008
Primes in the form
Hongze Li, Hao Pan
Let βbe a real number. Then for almost all irrational α>0 (in the sense of Lebesgue measure) \limsup_{x\to\infty}π_{α,β}^*(x)(\log x)^2/x>=1, where π_{α,β}^*(x)={p<=x: both p and […
math.NT2007
Two addition theorems on polynomials of prime variables
Hongze Li, Hao Pan
We extend a recent result of Khalfalah and Szemeredi to the polynomials of prime variables.
math.NT2007
Difference sets and Polynomials of prime variables
Hongze Li, Hao Pan
Let ψ(x) be a polynomial with rational coefficients. Suppose that ψhas the positive leading coefficient and zero constant term. Let A be a set of positive integers with the positiv…