An extended pair-correlation conjecture and primes in short intervals

Abstract

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.

a minor correction is inserted

References in corpus (1)

• An extension of the pair-correlation conjecture and applications

Cited by in corpus (5)

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• An unconditional Montgomery Theorem for Pair Correlation of Zeros of the Riemann Zeta Function
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• The Selberg integral and a new pair-correlation function for the zeros of the Riemann zeta-function