## Abstract

We use 90 quasars detected by their Lyα emission to well-defined flux limits in the Palomar Transit Grism Survey to derive the luminosity function of quasars in the redshift range 2.75-4.75. Application of the V/V_{max} test yields 〈V_{e}/V_{a}〉=0.377±0.026, corresponding to a nonuniform distribution in comoving coordinates, such that the space density decreases with redshift. The luminosity function appears to be well represented by a power law with a slope corresponding to a factor of 5.6 per magnitude. We discuss and define the relationship between the line luminosity function and the continuum luminosity function of quasars. The space density for M_{B}<-26 decreases by a factor of 2.7 per unit redshift beyond z=2.7. Based on this result and earlier published work on quasar luminosity functions at lower redshifts, it appears that there is a maximum in the comoving space density of quasars with M_{B}<-26 between redshifts 1.7 and 2.7.

Original language | English (US) |
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Pages (from-to) | 68-77 |

Number of pages | 10 |

Journal | Astronomical Journal |

Volume | 110 |

Issue number | 1 |

DOIs | |

State | Published - Jul 1995 |

## All Science Journal Classification (ASJC) codes

- Astronomy and Astrophysics
- Space and Planetary Science