An extended pair-correlation conjecture and primes in short intervals

A. Languasco, A. Perelli, A. Zaccagnini
2016 Transactions of the American Mathematical Society  
In this paper we extend the well-known investigations of Montgomery and Goldston & Montgomery, concerning the pair-correlation function and its relations with the distribution of primes in short intervals, to a more general version of the pair-correlation function.
doi:10.1090/tran/6835 fatcat:3sw4qq7mpba2zk2dag7svn5pjm