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math.NT2013★ 5 cited
An extended pair-correlation conjecture and primes in short intervals
A. Languasco, A. Perelli, A. Zaccagnini
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 p…
math.NT2013★ 6 cited
An extension of the pair-correlation conjecture and applications
Alessandro Languasco, Alberto Perelli, Alessandro Zaccagnini
We study an extension of Montgomery's pair-correlation conjecture and its relevance in some problems on the distribution of prime numbers.