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# On the frequency of Titchmarsh's phenomenon for $\zeta(s)$ IX.

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-01104718
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### Citation

K Ramachandra. On the frequency of Titchmarsh's phenomenon for $\zeta(s)$ IX.. Hardy-Ramanujan Journal, Hardy-Ramanujan Society, 1990, Volume 13 - 1990, pp.28 - 33. ⟨10.46298/hrj.1990.120⟩. ⟨hal-01104718⟩

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