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The conductor density of local function fields with abelian Galois group
Published 4 Apr 2019 in math.NT | (1904.02573v3)
Abstract: We give an exact formula for the number of $G$-extensions of local function fields $\mathbb{F}_q((t))$ for finite abelian groups $G$ up to a conductor bound. As an application we give a lower bound for the corresponding counting problem by discriminant.
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