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math.NT2016★ 2 cited
Cesàro average in short intervals for Goldbach numbers
Alessandro Languasco, Alessandro Zaccagnini
We prove that a suitable explicit formula for the Cesaro-averaged number of representations of an integer as a sum of two primes holds in short intervals.
math.NT2016★ 1 cited
The Selberg integral and a new pair-correlation function for the zeros of the Riemann zeta-function
Alessandro Zaccagnini
The present paper is a report on joint work with Alessandro Languasco and Alberto Perelli on our recent investigations on the Selberg integral and its connections to Montgomery's p…