We have measured the specific heat of the HgBaCaCuO(1223) samples in l
ow temperature, and found the specific heat jumps of these samples nea
r Tc. It is different from the other Hg-systems, The temperature range
of the phase transition is very wide, Delta Tc is over 30K. The ac su
sceptibility shows these samples have one phase transition near Tc. Th
is phenomenon probably is introduced by oxygen inhomogeneity in these
samples.