On the frequency of Titchmarsh's phenomenon for $\zeta(s)$ IX.
Ramachandra, K
HAL, hal-01104718 / Harvested from HAL
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.
Publié le : 1990-07-04
Classification:  frequency of Titchmarsh phenomenon,  [MATH]Mathematics [math]
@article{hal-01104718,
     author = {Ramachandra, K},
     title = {On the frequency of Titchmarsh's phenomenon for $\zeta(s)$ IX.},
     journal = {HAL},
     volume = {1990},
     number = {0},
     year = {1990},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01104718}
}
Ramachandra, K. On the frequency of Titchmarsh's phenomenon for $\zeta(s)$ IX.. HAL, Tome 1990 (1990) no. 0, . http://gdmltest.u-ga.fr/item/hal-01104718/