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

hrj:118 - Hardy-Ramanujan Journal, January 1, 1990, Volume 13 - 1990 - https://doi.org/10.46298/hrj.1990.118
Proof of some conjectures on the mean-value of Titchmarsh series I.Article

Authors: R Balasubramanian 1; K Ramachandra 1

Let F(s) be a Titchmarsh series, i.e. a kind of Dirichlet series, the coefficients of which are suitably bounded. This notion was introduced by us in an earlier paper where we stated a conjecture and proved certain theorems on the lower bound for H0|F(it)|kdt, where k=1 or 2. In this paper, better results and a proof of the conjecture are obtained.


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

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