Apple App Store: Name on iOS and Mac
I'm in the process of getting ready to release an iOS version of my Mac App that is already in the App Store. I wanted to use the same name (with a different bundle ID, obviously) but iTunes Connect is telling me the name has already been used.. I have thoroughly searched the iOS App Store and have a pretty unique name. 

1) Are we not allowed to use the same 'App Name' on iOS as Mac (and vice versa)?

2) Is the App Name that important? Can't I put a different Bundle Display Name property in my info.plist to eventually display the same name anyway?

Any help would be great! Thanks!
Apple App Store: Name on iOS and Mac
===

I'm in the process of getting ready to release an iOS version of my Mac App that is already in the App Store. I wanted to use the same name (with a different bundle ID, obviously) but iTunes Connect is telling me the name has already been used.. I have thoroughly searched the iOS App Store and have a pretty unique name. 

1) Are we not allowed to use the same 'App Name' on iOS as Mac (and vice versa)?

2) Is the App Name that important? Can't I put a different Bundle Display Name property in my info.plist to eventually display the same name anyway?

Any help would be great! Thanks!