High resolution specific heat measurements of Bi2Sr2CaCu2O8+x supercon
ductors in magnetic fields up to 16 Tesla are presented. In a polycrys
talline sample the magnetic field leads to a drastic suppression and a
pronounced broadening of the anomaly at T-c. In contrast, our measure
ments on a high quality single crystal for fields parallel to the CuO2
-layers do not show any significant suppression of the specific heat a
t T-c. Moreover, the specific heat above T-c, which is attributed to s
uperconducting fluctuations, decreases. As a consequence the anomaly a
t T-c appears to become sharper with increasing magnetic field.