  We consider the behaviour of the fluctuating specific heat and conductivity
in the vicinity of the upper critical field line for a two-band superconductor.
Multiple-band effects are pronounced when the bands have very different
coherence lengths. The transition to superconductive state is mainly determined
by the properties of the rigid condensate of the "strong" band, while the
"weak" band with a large coherence length of the Cooper pairs causes the
nonlocality in fluctuation behaviour and break down of the simple
Ginzburg-Landau picture. As expected, the multiple-band electronic structure
does not change the functional forms of dominating divergencies of the
fluctuating corrections when the magnetic field approaches the upper critical
field. The temperature dependence of the coefficients, however, is modified.
The large in-plane coherence length sets the field scale at which the upper
critical field has upward curvature. The amplitude of fluctuations and
fluctuation width enhances at this field scale due to reduction of the
effective z-axis coherence length. We also observe that the apparent transport
transition displaces to lower temperatures with respect to the thermodynamic
transition. Even though this effect exists already in a single-band case at
sufficiently high fields, it may be strongly enhanced in multiband materials.
