@Article{LanguascoPerelliZaccagnini2012, Author = "A. Languasco and A. Perelli and A. Zaccagnini", Title = "Explicit relations between pair correlation of zeros and primes in short intervals", Journal = "J. Math. Anal. Appl.", Volume = 394, Pages = "761--771", Year = 2012, Abstract = "In this paper we obtain a quantitative version of the well-known theorem by D.~A.~Goldston and H.~L.~Montgomery on the equivalence between the asymptotic behaviours of the mean-square of primes in short intervals and of the pair-correlation function of the zeros of the Riemann zeta-function." }