  This paper obtains logarithmic asymptotics of moderate deviations of the
stochastic process of the number of customers in a many--server queue with
generally distributed interarrival and service times in the Halfin--Whitt heavy
traffic regime. The deviation function is expressed in terms of the solution to
a Fredholm equation of the second kind. The proof uses characterisation of
large deviation relatively compact sequences of probability measures as
exponentially tight ones.
