Public BGP Peering with Active/Active Data Centers

I'm curious to know what the best practices are when you're peering BGP with the public internet at multiple data center locations. Would you commonly advertise the same public prefixes at both locations, or would each location have its own set of public prefixes? If they use the same ASN would there need to be some sort of an iBGP connection between the DCs?

My thought process is that yes, they would advertise the same prefixes at both, and that the iBGP connection is not necessary.