  Partition functions are an important research object in combinatorics and
mathematical physics [Barvinok, 2016]. In this work, we consider the partition
function of the Ising antiferromagnet on random regular graphs and characterize
its limiting distribution in the replica symmetric phase up to the
Kesten-Stigum bound. Our proof relies on a careful execution of the method of
moments, spatial mixing arguments and small subgraph conditioning.
