Table 1

Maximum likelihood Schechter luminosity functions for LAEs in the mosaic field.

z Volume Real objects Total log10φ log10L α log ρLyᆆ SFRD ††
104 Mpc-3 (Mpc-3) (erg s-1) (erg s-1 Mpc-3) (M yr-1 Mpc-3)

2.92 z 3.99 3.10 193 328 –3.10 42.72 –2.03 40.154 0.014
4.00 z 4.99 2.57 144 346 –3.42 42.74 –2.36 40.203 0.015
5.00 z 6.64 3.64 50 176 –3.16 42.66 –2.86 40.939 0.083

Notes. Marginal 68% confidence intervals on single parameters are taken from the extremes of the Δ S = 1 contours. The 68% confidence intervals on the luminosity density and SFRD however depend on the joint confidence interval the two free parameters L and α (Δ S = 2.30 contour as in Fig. 8) – details in Sect. 5.3. We note that as our sample are almost entirely below L, the value of L itself is only loosely constrained by our data, and hence we only find a single bound of the 68% confidence intervals for the Schechter parameters in two redshift bins. Thankfully this is not a problem for the luminosity density and SFRD, as the extreme values are reached in a perpendicular direction to the length of the ellipses.

(†)

>25% completeness in flux at the median redshift of the luminosity function.

(††)

Integrated to log10L erg s-1= 41.0.

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