K Ramachandra
Articles written in Proceedings – Mathematical Sciences
Volume 93 Issue 2-3 December 1984 pp 101-107
Mean-value of the Riemann zeta-function on the critical line
R Balasubramanian K Ramachandra
This is an expository article. It is a collection of some important results on the meanvalue of$$\left| {\zeta (\frac{1}{2} + it)} \right|.$$
Volume 99 Issue 2 August 1989 pp 155-162
A generalization of the riemann zeta-function
A generalization of the Riemann zeta-function which has the form$$\zeta _\alpha (s) = \prod\limits_p {\frac{1}{{1 - p^{ - s} + (p + a)^{ - 3} }}} $$ is considered. Analytical properties with respect to s and asymptotic behaviour when
Volume 102 Issue 1 April 1992 pp 1-12
On the frequency of Titchmarsh’s phenomenon for ζ(s)-VIII
R Balasubramanian K Ramachandra A Sankaranarayanan
For suitable functions
Volume 102 Issue 2 August 1992 pp 83-91
Proof of some conjectures on the mean-value of Titchmarsh series — III
R Balasubramanian K Ramachandra
With some applications in view, the following problem is solved in some special case which is not too special. Let
Volume 104 Issue 1 February 1994 pp 167-176 Obituary note
On the zeros of a class of generalised Dirichlet series-XIV
R Balasubramanian K Ramachandra
We prove a general theorem on the zeros of a class of generalised Dirichlet series. We quote the following results as samples.
Volume 105 Issue 3 August 1995 pp 273-279
On the zeros of
Some very precise results (see Theorems 4 and 5) are proved about the
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