Hardy-Ramanujan Journal |
In this paper, we prove a slight improvement of Huxley's zero-density estimate for ζ(s) near the line Re(s)=34.
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.
In this paper, we prove the Erdös conjecture that the binomial coefficient (2nn) is never square free, for all n>4.