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arXiv · 1311.0597

An extended pair-correlation conjecture and primes in short intervals

A. Languasco·A. Perelli·A. Zaccagnini
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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.

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A. Languasco, A. Perelli, A. Zaccagnini. 2013-11-04. An extended pair-correlation conjecture and primes in short intervals. https://doi.org/10.1090/tran%2F6835

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