A Survey of z~6 Quasars in the SDSS Deep Stripe: I. a Flux-Limited Sample at z_{AB}<21
Linhua Jiang, Xiaohui Fan, James Annis, Robert H. Becker, Richard L., White, Kuenley Chiu, Huan Lin, Robert H. Lupton, Gordon T. Richards, Michael, A. Strauss, Sebastian Jester, Donald P. Schneider

TL;DR
This study discovers and analyzes a flux-limited sample of z~6 quasars from SDSS, measuring their spatial density and luminosity function, and discusses their role in cosmic reionization.
Contribution
It presents the first flux-limited sample of z~6 quasars at fainter magnitudes and determines their luminosity function and spatial density, providing new insights into early universe quasar populations.
Findings
Quasars at z~6 are 1-2 magnitudes fainter than previous samples.
The spatial density of z~6 quasars is approximately 5.0 x 10^{-9} Mpc^{-3} mag^{-1}.
The bright-end quasar luminosity function has a steep slope of -3.1, indicating fewer luminous quasars at this epoch.
Abstract
We present the discovery of five quasars at z~6 selected from 260 deg^2 of the Sloan Digital Sky Survey (SDSS) southern survey, a deep imaging survey obtained by repeatedly scanning a stripe along the Celestial Equator. The five quasars with 20<z_{AB}<21 are 1-2 magnitudes fainter than the luminous z~6 quasars discovered in the SDSS main survey. One of them was independently discovered by the UKIRT Infrared Deep Sky Survey. These quasars, combined with another z~6 quasar known in this region, make a complete flux- limited quasar sample at z_{AB}<21. The sample spans the redshift range 5.85<z<6.12 and the luminosity range -26.5<M_{1450}<-25.4 (H_0=70 km s^{-1} Mpc^{-1}, Omega_{m}=0.3, and Omega_{Lambda}=0.7). We use the 1/V_{a} method to determine that the comoving quasar spatial density at <z>=6.0 and <M_{1450}>=-25.8 is (5.0+/-2.1) x 10^{-9} Mpc^{-3} mag^{-1}. We model the bright-end…
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