  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.
