We present an analysis of experimental specific heat data measured in the v
icinity of the spin-Peierls transition of a CuGeO3 single crystal. The aim
of the investigation was to analyse the type of the transition, including t
he character of the fluctuations, and to give a proper determination of the
critical temperature. We used and successively compared the Gaussian and c
ritical fluctuations models to fit the experimental points detected in magn
etic fields up to 21 T. Our results present new information about the influ
ence of a magnetic held on fluctuations in the CuGeO3 compound. Within the
framework of the Gaussian fluctuations model, there is no significant magne
tic field dependence of the fluctuations. Using this model, the critical re
gion is estimated to be as small as 10 mK in zero field, which excludes the
possibility of observation of critical fluctuations in the present experim
ents. In spite of this, a critical fluctuations type of analysis can also b
e carried out, with a critical exponent value lying between the three-dimen
sional XY and the Heisenberg universality classes. We also note the absence
of broadening of the fluctuations regime under magnetic field. Taking into
account the scatter of the data, the two models are equally suitable in th
e fitting process.