Robin inequality for n/phi(n)

Let φ(n) be the Euler function, σ(n)=∑d nd the sum of divisors function and γ=0.577… the Euler constant. In 1982, Robin proved that, under the Riemann hypothesis, σ(n)/n < e^γ loglog n holds for $n > 5040$ and that this inequality is equivalent to the Riemann hypothesis. The aim of this paper is to give a similar equivalence for n/φ(n).