The conductor density of local function fields with abelian Galois group
J. Klüners, R. Müller, Journal of Number Theory 212 (2020) 311–322.
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| English
Author
Klüners, JürgenLibreCat;
Müller, Raphael
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Abstract
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.
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Journal of Number Theory
Volume
212
Page
311-322
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Klüners J, Müller R. The conductor density of local function fields with abelian Galois group. Journal of Number Theory. 2020;212:311-322. doi:10.1016/j.jnt.2019.11.007
Klüners, J., & Müller, R. (2020). The conductor density of local function fields with abelian Galois group. Journal of Number Theory, 212, 311–322. https://doi.org/10.1016/j.jnt.2019.11.007
@article{Klüners_Müller_2020, title={The conductor density of local function fields with abelian Galois group}, volume={212}, DOI={10.1016/j.jnt.2019.11.007}, journal={Journal of Number Theory}, publisher={Elsevier BV}, author={Klüners, Jürgen and Müller, Raphael}, year={2020}, pages={311–322} }
Klüners, Jürgen, and Raphael Müller. “The Conductor Density of Local Function Fields with Abelian Galois Group.” Journal of Number Theory 212 (2020): 311–22. https://doi.org/10.1016/j.jnt.2019.11.007.
J. Klüners and R. Müller, “The conductor density of local function fields with abelian Galois group,” Journal of Number Theory, vol. 212, pp. 311–322, 2020, doi: 10.1016/j.jnt.2019.11.007.
Klüners, Jürgen, and Raphael Müller. “The Conductor Density of Local Function Fields with Abelian Galois Group.” Journal of Number Theory, vol. 212, Elsevier BV, 2020, pp. 311–22, doi:10.1016/j.jnt.2019.11.007.
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