  We celebrate the 100th anniversary of Srinivasa Ramanujan's election as a
Fellow of the Royal Society, which was largely based on his work with G. H.
Hardy on the asymptotic properties of the partition function. After recalling
this revolutionary work, marking the birth of the "circle method", we present a
contemporary example of its legacy in topology. We deduce the equidistribution
of Hodge numbers for Hilbert schemes of suitable smooth projective surfaces.
