We present the North Galactic Cap sample of the Extremely Luminous Quasar Survey (ELQS-N), which targets quasars with $M_{ 1450}<-27$ at $2.8 \leq z < 5$ in an area of $\sim7600\,\rm{ deg}^2$ of the Sloan Digital Sky Survey (SDSS) footprint with $90\text{ \textdegree}<\rm{ RA}<270\text{ \textdegree}$. Based on a near-infrared/infrared \textit{ JKW2} color cut, the ELQS selection efficiently uses random forest methods to classify quasars and to estimate photometric redshifts; this scheme overcomes some of the difficulties of pure optical quasar selection at $z\approx3$. As a result, we retain a completeness of $>70\%$ over $z\sim3.0-5.0$ at $m_{ i}\lesssim17.5$, limited toward fainter magnitudes by the depth of the Two Micron All Sky Survey (2MASS). The presented quasar catalog consists of a total of 270 objects, of which 39 are newly identified in this work with spectroscopy obtained at the Vatican Advanced Technology Telescope and the MMT $6.5\,\rm{ m}$ telescope. In addition to the high completeness, which allowed us to discover new quasars in the already well-surveyed SDSS North Galactic Cap, the efficiency of our selection is relatively high at $\sim79\%$. Using 120 objects of this quasar sample we are able to extend the previously measured optical quasar luminosity function (QLF) by one magnitude toward the bright end at $2.8 \leq z \leq 4.5$. A first analysis of the QLF suggests a relatively steep bright-end slope of $\beta\approx-4$ for this sample. This result contrasts with previous results in the same redshift range, which find a much flatter slope around $\beta\sim-2.5$, but agrees with recent measurements of the bright-end slope at lower and higher redshifts. Our results constrain the bright-end slope at $z=2.8-4.5$ to $\beta<-2.94$ with a 99\% confidence.
Categories: astro-ph.GA