The Selberg integral and a new pair-correlation function for the zeros   of the Riemann zeta-function
  The present paper is a report on joint work with Alessandro Languasco and Alberto Perelli on our recent investigations on the Selberg integral and its connections to Montgomery's pair-correlation function. We introduce a more general form of the Selberg integral and connect it to a new pair-correlation function, emphasising its relations to the distribution of prime numbers in short intervals. 
Alessandro Zaccagnini
math.NT