//I have a Reshiram and its name is Jeremy.//
I just got a Zekrom from trade and its name is Mike.
I go to wherever Kyruem is and catch it and name it Vincent.
I get the DNA splicers.
I want to combine them, but what would White/Black Kyurem's Name would look like?
//Do not ask where I get those names from. Just back away sloooooowly//
It will take the name of Kyurem. When you use the DNA Splicers on Kyurem/Zakrom or Kyurem/Reshiram, the reulting Pokémon will have the EVs, IVs, moves, nature, typing and nickname of the Kyurem.