## K Ramachandra - Proof of some conjectures on the mean-value of titchmarsh series with applications to Titchmarsh's phenomenon

hrj:119 - Hardy-Ramanujan Journal, January 1, 1990, Volume 13 - 1990 - https://doi.org/10.46298/hrj.1990.119
Proof of some conjectures on the mean-value of titchmarsh series with applications to Titchmarsh's phenomenon

Authors: K Ramachandra

In the earlier paper written jointly with R. Balasubramanian, we proved certain lower bounds for mean values of Titchmarsh series. In this paper, we obtain analogous results for weak Titchmarsh series'', which are a kind of Dirichlet series $\sum a_n\lambda^{-s}_n$ such that $\sum_{n\leq X}\vert a_n\vert$ is suitably bounded above.

Volume: Volume 13 - 1990
Published on: January 1, 1990
Imported on: March 3, 2015
Keywords: mean-value of Titchmarsh series,Titchmarsh phenomenon,[MATH] Mathematics [math]