Hall 123

Prime Number Theorem

Karthick Babu

IMSc, Chennai

In this talk, We will prove Riemann zeta function has no zeros in re(s) > 1- c/(log(t))^9 for |t|>2 and c > 0, where t= im(s) and using that We prove Prime Number theorem with error term O(x exp{-c(log x)^1/10}).