There are some integrals related to the celebrated pair correlation conjecture of H. L. Montgomery.one of them is integral introduced by Selberg related to estimating the variance of primes in short intervals ,I read the last interesting paper of Yitang Zhang seems to me that paper discussed as well statistical distribution of Landeau Siegle zeros and primes ,In the same time correlation conjecture of H. L. Montgomery deals with estimation of the variance of primes .

My Question is : Assume Yitang Zhang latest results correct ,what these results would contribute to correlation conjecture of H. L. Montgomery ?

Note :I ask kindly community to add tag for Yitang Zhang results or Yitang Zhang theorem.