TY - JOUR
AB - 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.
AU - Klüners, Jürgen
AU - Müller, Raphael
ID - 34841
JF - Journal of Number Theory
KW - Algebra and Number Theory
SN - 0022-314X
TI - The conductor density of local function fields with abelian Galois group
VL - 212
ER -