Cosmological Redshift Distortion of Correlation Functions as a Probe of the Density Parameter and the Cosmological Constant

We propose cosmological redshift-space distortion of correlation functions of galaxies and quasars as a useful probe of both the density parameter 0 and the cosmological constant 0 . In particular, we show that redshift-space distortion of quasar correlation functions at z 2 can potentially set an important constraint on the value of 0 . This is in contrast to the popular analysis of galaxy correlation functions in redshift space which basically determines 0:6 0 =b, where b is the bias parameter, but is insensitive to 0 . For speci c applications, we present redshift-space distortion of correlation functions both in cold dark matter models and in power-law correlation function models, and discuss the extent to which one can discriminate between the di erent 0 models. Subject headings: cosmology: theory | large-scale structure of the universe | methods: statistical