
• (n.) One of the chiefs or pontiffs of the Roman province of Asia, who had the superintendence of the public games and religious rites.
Found on 
http://thinkexist.com/dictionary/meaning/asiarch/
 A'si·arch  noun
A'si·arch  noun [ Latin 
 Asiarcha , Greek ...; ... + ... ruler.] One of the chiefs or pontiffs of the Roman province of Asia, who had the superintendence of the public games and religious rites. 
 Milner. Found on 
http://www.encyclo.co.uk/webster/A/129
  No exact match found.