Develops multiple Dirichlet series methods to count G-extensions for infinitely many new Galois groups G, with unconditional results for concentrated groups and conditional asymptotics including all nilpotency class 2 groups.
Power-saving error terms for the number ofD 4-quartic extensions over a number field ordered by discriminant
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Counting number fields using multiple Dirichlet series
Develops multiple Dirichlet series methods to count G-extensions for infinitely many new Galois groups G, with unconditional results for concentrated groups and conditional asymptotics including all nilpotency class 2 groups.