Title of article
Explicit relations between pair correlation of zeros and primes in short intervals
Author/Authors
Languasco، نويسنده , , Alessandro and Perelli، نويسنده , , Alberto and Zaccagnini، نويسنده , , Alessandro، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2012
Pages
11
From page
761
To page
771
Abstract
In this paper we obtain a quantitative version of the well known theorem by Goldston and 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.
Keywords
Primes in short intervals , Riemann zeta function , Pair correlation of zeros
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2012
Journal title
Journal of Mathematical Analysis and Applications
Record number
1562958
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