  In this note, we prove Selberg's announced result on $r$-gaps between zeros
of the Riemann zeta-function $\zeta$. Our proof uses a result on variations of
$\arg\zeta$ by Tsang based on Selberg's method. The same result with explicit
constants under the Riemann Hypothesis has been obtained by Conrey and
Turnage-Butterbaugh using a different method. We explain how to obtain explicit
constants under the Riemann Hypothesis using our approach which is based on
Selberg's and Tsang's arguments.
