Volume 18 - 1995


1. A large value theorem for ζ(s).

K Ramachandra.
In this paper, we prove a slight improvement of Huxley's zero-density estimate for ζ(s) near the line Re(s)=34.

2. On Riemann zeta-function and allied questions-II

R Balasubramanian ; K Ramachandra.
In this paper, two conjectures on the mean value of Dirichlet polynomials are given and are shown to imply good lower bound for T+HH|ζ(12+it)k|2dt, uniform in k and independent of T.

3. Is the binomial coefficient (2nn) square free?

G Velammal.
In this paper, we prove the Erdös conjecture that the binomial coefficient (2nn) is never square free, for all n>4.