On the distribution of imaginary parts of zeros of the Riemann zeta function, II

Kevin Ford, K. Soundararajan, Alexandru Zaharescu

Published 2008-05-19, updated 2009-01-10Version 3

We continue our investigation of the distribution of the fractional parts of $a \gamma$, where $a$ is a fixed non-zero real number and $\gamma$ runs over the imaginary parts of the non-trivial zeros of the Riemann zeta function. We establish some connections to pair correlation functions and the distribution of primes in short intervals. We also discuss analogous results for a more general L-function. This is a sequel to the paper math.NT/0405459.