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

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

2003-12-04

arxiv.org/abs/math/0312097v1

Lietuvos Matem. Rinkinys 42(2002), 31-45

Mathematics

Number Theory

13 pages

Scientific paper

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

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