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

Aleksandar Ivić

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arXiv · math/0312097

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

Aleksandar Ivić

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Abstract

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

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Aleksandar Ivić. 2003-12-04. On small values of the Riemann zeta-function on the critical line and gaps between zeros. https://arxiv.org/abs/math/0312097

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