@Article{LanguascoZaccagnini2014a,
  Author    = "A. Languasco and A. Zaccagnini",
  Title     = "Explicit relations between pair correlation of zeros
               and exponential sums over primes",
  Journal   = "Functiones \& Approximatio Commentarii Mathematici",
  Volume    = 51,
  Number    = 2,
  Pages     = "379--391",
  Url       = "\url{http://arxiv.org/abs/1212.5704}",
  Year      = 2014,
  Abstract = "Under the assumption of the Riemann Hypothesis, we prove
explicit quantitative relations between hypothetical error terms in the
asymptotic formulae for truncated mean-square average of exponential
sums over primes and in the mean-square of primes in short
intervals.
We also remark that such relations are connected with a more precise
form of Montgomery's pair-correlation conjecture."
}