2002/06/27 by Tsz Ho Chan, Chan, Tsz Ho
Mathematics · #11M26 #11N05 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11M26 #msc:11N05
paper · pdf · doi:10.48550/arxiv.math/0206292
arxiv created 2002/06/27 · arxiv updated 2009/11/30
Goldston and Montgomery [3] proved that the Strong Pair Correlation Conjecture and two second moments of primes in short intervals are equivalent to each other under Riemann Hypothesis. In this paper, we get the second main terms for each of the above and show that they are almost equivalent to each other.