  We evaluate the second and fourth order quark number susceptibilities in hot
QCD using two variations of resummed perturbation theory. On one hand, we carry
out a one-loop calculation within hard-thermal-loop perturbation theory, and on
the other hand perform a resummation of the four-loop finite density equation
of state derived using a dimensionally reduced effective theory. Our results
are subsequently compared with recent high precision lattice data, and their
agreement thoroughly analyzed.
