  In order to constrain the initial mass function of the first generation of
stars (Population III), one has to study the fragmentation properties of
primordial gas. We present results from 3D simulations, based on Smoothed
Particle Hydrodynamics, which explore the idea that small-scale fluctuations in
the (cold) dark matter recreate a filamentary and clumpy structure in the gas
component on scales smaller than the initial Jeans mass, where all primordial
fluctuations would have been wiped out.
