Origin of regularities in the redshift distributions of distant galaxies and quasars

A model in which inhomogeneities originated during inflation and transformed eventually into density peaks with maximum wavelength equal to the horizon size at the decoupling epoch (z{sub dec} {approx} 10{sup 3}) would give at the present for very large scale structure a periodic distribution: 1n (1 + z) (approx) 0.04n + 0.04, n = 0,1,2,{hor ellipsis}. This formula in which the true phase is replaced by its characteristic value fits the data on redshift distribution of distant galaxies fairly well. Some relevant implications are discussed in the paper, such as difference between the constants of periodicity C {equivalent to} {Delta}1n (1 + z): C{sub G} for distant galaxies and C{sub Q} for quasars, and a recent finding that quasars close on the sky to low redshifted galaxies shot a higher concentration toward peaks in the quasar redshift distribution than do quasars in general. 17 refs