The present paper is a report on joint work with Alessandro Languasco and Alberto Perelli, collected in ,  and , on our recent investigations on the Selberg integral and its connections to Montgomery's pair-correlation function. We introduce a more general form of the Selberg integral and connect it to a new pair-correlation function, emphasising its relations to the distribution of prime numbers in short intervals.
The Selberg integral and a new pair-correlation function for the zeros of the Riemann zeta-function / Zaccagnini, Alessandro. - In: RIVISTA DI MATEMATICA DELLA UNIVERSITÀ DI PARMA. - ISSN 0035-6298. - 7:1(2016), pp. 133-151.
|Appare nelle tipologie:||1.1 Articolo su rivista|