On the frequency of Titchmarsh's phenomenon for $\zeta(s)$ IX.
Authors: K Ramachandra 1
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K Ramachandra
1 Tata Institute for Fundamental Research
In the previous paper in this series, we proved a lower bound for $f(H)=\min_{T\geq1}\max_{T\leq t\leq T+H}\vert(\zeta(1+it))^z\vert,$ where $z=\exp(i\theta)$ and $0\leq\theta<2\pi$. In this paper, we prove an upper bound for $f(H)$ and present some applications.