*† Ἀσιάρχης, -ου, ὁ, an Asiarch, one of ten officers elected by the various cities in the province of Asia whose duty it was to celebrate at their own charges the public games and festivals: Ac 19:31 (Strab., Inscr.; DB, s.v.).†
Henry George Liddell, Robert Scott, A Greek-English Lexicon
Ἀσι-άρχης, ου, ὁ, an Asiarch, priest of the Imperial cult in the province of Asia, 1st cStrabo Geographus 14.1.42, NT.Act.19.31, “IG” 12(3).531, 14.2405, etc.; Ἀ. ναῶν τῶν ἐν Ἐφέσῳ “OGI” 525.8 (Halic.):—hence Ἀσι-αρχέω, “BMus.Inscription” 481*.240 (Ephesus, 2nd c.AD), etc.