The conductor density of local function fields with abelian Galois group Klüners, Jürgen Müller, Raphael Algebra and Number Theory We give an exact formula for the number of G-extensions of local function fields Fq((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. Elsevier BV 2020 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_6501 https://ris.uni-paderborn.de/record/34841 Klüners J, Müller R. The conductor density of local function fields with abelian Galois group. <i>Journal of Number Theory</i>. 2020;212:311-322. doi:<a href="https://doi.org/10.1016/j.jnt.2019.11.007">10.1016/j.jnt.2019.11.007</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jnt.2019.11.007 info:eu-repo/semantics/altIdentifier/issn/0022-314X info:eu-repo/semantics/altIdentifier/arxiv/1904.02573 info:eu-repo/semantics/closedAccess