Past exam of the mathematics course of the University of Cambridge / 2013 / iii / Paper 23 / 6 / a / Solution

The Riemann hypothesis says that every Nontrivial zero of the Riemann zeta function of $\zeta$ has real part $1/2$. The Lindelöf hypothesis says that, for every $\epsilon >0$,The exponent may be arbitrarily small; the implied constant may depend on that exponent. The next part proves the implication from the first hypothesis to the second.