Large gaps between consecutive zeros, on the critical line, of the   Riemann zeta-function
  We show that for any sufficiently large $T,$ there exists a subinterval of $[T,2T]$ of length at least $2.766 \times \frac{2\pi}{\log{T}},$ in which the function $t \mapsto \zeta(1/2 + it)$ has no zeros. 
Johan Bredberg
math.NT