For finite abelian G, G-extensions of bounded height with restricted tame ramification type satisfy an explicit Malle-type asymptotic whose constant is governed by a partially unramified Brauer group.
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Counting abelian number fields with restricted ramification type
For finite abelian G, G-extensions of bounded height with restricted tame ramification type satisfy an explicit Malle-type asymptotic whose constant is governed by a partially unramified Brauer group.