On small values of the Riemann zeta-function on the critical line and gaps between zeros

Small values of $\mathrm{\mid }\zeta (1\mathrm{/}2+it)\mathrm{\mid }$ are investigated, using the value distribution results of A. Selberg. This gives an asymptotic formula for $\mu (\{0<t\le T:\mathrm{\mid }\zeta (1\mathrm{/}2+it)\mathrm{\mid }\le c\})$. Some related problems involving values of $\mathrm{\mid }\zeta (1\mathrm{/}2+it)\mathrm{\mid }$ and gaps between the consecutive ordinates of zeros of $\zeta (s)$ are also discussed.