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

hrj:120 - Hardy-Ramanujan Journal, January 1, 1990, Volume 13 - https://doi.org/10.46298/hrj.1990.120
On the frequency of Titchmarsh's phenomenon for $\zeta(s)$ IX.

Authors: K Ramachandra

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.


Volume: Volume 13
Published on: January 1, 1990
Submitted on: March 3, 2015
Keywords: frequency of Titchmarsh phenomenon,[MATH] Mathematics [math]


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