Evolution of the Hα LFs across cosmic history. We compare our best-fit Hα LFs at z ∼ 4.45, z ∼ 5.3, and z ∼ 6.15, to previous results: Stroe & Sobral (2015) at z ∼ 0.2; Sobral et al. (2013) at z ∼ 0.4, 0.84, 1,47, and 2.23; Terao et al. (2022) at z ∼ 2.3; and Bollo et al. (2023) at z ∼ 4.4. Solid lines represent the regions that were probed observationally in each study. For those studies that only reported the dust-corrected luminosity functions, we inferred the uncorrected functions by reversing the dust correction applied for a fair comparison. We observe a trend of number densities increasing with decreasing redshift up to cosmic noon, to then reverse this trend and decrease until the present universe.