Primeval adiabatic perturbations - Constraints from the mass distribution

Assuming linear primeval adiabatic perturbations, the autocorrelation function of the mass distribution after decoupling of matter and radiation is computed by means of a new numerical method and the results are compared to what is inferred from the present galaxy distribution. The Friedmann-Lemaitre model computation, containing radiation, zero-mass neutrinos, hydrogen and helium, take the primeval power spectrum of density fluctuations to approximate a k-to-the-nu power law. It is shown that if nu is less than two, the coherence length of the residual mass distribution is too large, and that when the amplitude is adjusted to make the first generation of objects form at zeta values lower than two, there are unacceptably large fluctuations in the mass distributions that are put on scales between 12 and 40 Mpc.