In this paper we extend the well-known investigations of Montgomery (1973) and Goldston and Montgomery (1987), 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.

An extended pair-correlation conjecture and primes in short intervals / Languasco, A.; Perelli, A.; Zaccagnini, Alessandro. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - 369:6(2017), pp. 4235-4250. [10.1090/tran/6835]

An extended pair-correlation conjecture and primes in short intervals

ZACCAGNINI, Alessandro
2017-01-01

Abstract

In this paper we extend the well-known investigations of Montgomery (1973) and Goldston and Montgomery (1987), 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.
2017
An extended pair-correlation conjecture and primes in short intervals / Languasco, A.; Perelli, A.; Zaccagnini, Alessandro. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - 369:6(2017), pp. 4235-4250. [10.1090/tran/6835]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2825767
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