The Aerians

Aeriani ab Aerio quodam sunt qui, cum esset presbyter, doluisse fertur quod episcopus non potuit ordinari; et in Arianorum haeresim lapsus propria quoque dogmata addidisse nonnulla, dicens offerri pro dormentibus non oportere, nec statua solemniter celebranda esse ieiunia; sed cum quisque voluerit, ieiunandum, ne videatur esse sub lege. Dicebat etiam presbyterum ab episcopo nulla differentia debere discerni. Quidam perhibent istos, sicut Encratitas vel Apotactitas, non admittere ad communionem suam nisi continentes et eos qui saeculo ita renuntiaverint ut propria nulla possideant. Ab esca tamen carnium non eos abstinere dicit Epiphanius; Filaster vero et hanc eis tribuit abstinentiam. Sanctus Augustinus Hipponensis, De Haeresibus ad Quodvultdeum Source: Migne PL 42.39-40

The Aerians are from a certain Aerius, who when he was a priest was grieved that he was not able to ordained a bishop and falling into the Arian heresy added not a few of his own teachings to it, saying that one should not pray for those who sleep, nor should there be solemn periods of fasting, but when a man wishes, so he should fast, lest it seem to be under a law. He even said that no difference should be discerned between priest and bishop. They also hold, like the Encratites and the Apoctactites, that there should be no admission to communion with them unless to the continent and those who have so renounced the world that they possess nothing of their own. Epiphanius does not say that they abstain from meat, however Philastrius does attribute this abstinence to them. Saint Augustine of Hippo, On Heresies, To Quodvultdeus.