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

الأصل · EN

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