  We present two searches for IceCube neutrino events coincident with 28 fast
radio bursts (FRBs) and one repeating FRB. The first improves upon a previous
IceCube analysis -- searching for spatial and temporal correlation of events
with FRBs at energies greater than roughly 50 GeV -- by increasing the
effective area by an order of magnitude. The second is a search for temporal
correlation of MeV neutrino events with FRBs. No significant correlation is
found in either search, therefore, we set upper limits on the time-integrated
neutrino flux emitted by FRBs for a range of emission timescales less than one
day. These are the first limits on FRB neutrino emission at the MeV scale, and
the limits set at higher energies are an order-of-magnitude improvement over
those set by any neutrino telescope.
