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math.NT2025
Counting abelian number fields with restricted ramification type
Julie Tavernier
We count abelian number fields ordered by arbitrary height function whose generator of tame inertia is restricted to lie in a given subset of the Galois group, and find an explicit…
math.NT2024
Abelian number fields with frobenian conditions
Julie Tavernier
We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular we find an asymptotic for the number of abelian field extension…