  Assuming the Riemann Hypothesis, we improve on previous results by proving
there are infinitely many zeros of the Riemann zeta-function whose differences
are smaller than 0.50412 times the average spacing. To obtain this result, we
generalize a set of weights that were developed by Xiaosheng Wu, who used them
to find a positive proportion of large and small gaps between zeros of the
Riemann zeta-function.
