In this paper we obtain a quantitative version of the well-known theorem by D.A. Goldston and H.L. Montgomery about the equivalence between the asymptotic behaviors of the mean-square of primes in short intervals and of the pair-correlation function of the zeros of the Riemann zeta function.
Explicit relations between pair correlation of zeros and primes in short intervals / A., Languasco; A., Perelli; Zaccagnini, Alessandro. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 394:2(2012), pp. 761-771. [10.1016/j.jmaa.2012.04.058]
Explicit relations between pair correlation of zeros and primes in short intervals
ZACCAGNINI, Alessandro
2012-01-01
Abstract
In this paper we obtain a quantitative version of the well-known theorem by D.A. Goldston and H.L. Montgomery about the equivalence between the asymptotic behaviors of the mean-square of primes in short intervals and of the pair-correlation function of the zeros of the Riemann zeta function.File in questo prodotto:
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