R Balasubramanian ; K Ramachandra - Proof of some conjectures on the mean-value of Titchmarsh series-II

hrj:121 - Hardy-Ramanujan Journal, January 1, 1991, Volume 14 - 1991 - https://doi.org/10.46298/hrj.1991.121
Proof of some conjectures on the mean-value of Titchmarsh series-II Article

Authors: R Balasubramanian 1; K Ramachandra 1

In this paper, we give lower bounds for $\int_0^H \vert F(it)\vert^k\,dt$, where $k=1$ or $2$ and $F(s)$ is a Dirichlet series of a certain kind. Since the conditions on $F(s)$ are relaxed, the bounds are somewhat smaller than those obtained previously.

https://doi.org/10.46298/hrj.1991.121
Source: HAL:hal-01104764v1
Volume: Volume 14 - 1991
Published on: January 1, 1991
Imported on: March 3, 2015
Keywords: [MATH] Mathematics [math]

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