---
_id: '34841'
abstract:
- lang: eng
  text: "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.\r\n"
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
- first_name: Raphael
  full_name: Müller, Raphael
  last_name: Müller
citation:
  ama: 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>
  apa: Klüners, J., &#38; Müller, R. (2020). The conductor density of local function
    fields with abelian Galois group. <i>Journal of Number Theory</i>, <i>212</i>,
    311–322. <a href="https://doi.org/10.1016/j.jnt.2019.11.007">https://doi.org/10.1016/j.jnt.2019.11.007</a>
  bibtex: '@article{Klüners_Müller_2020, title={The conductor density of local function
    fields with abelian Galois group}, volume={212}, DOI={<a href="https://doi.org/10.1016/j.jnt.2019.11.007">10.1016/j.jnt.2019.11.007</a>},
    journal={Journal of Number Theory}, publisher={Elsevier BV}, author={Klüners,
    Jürgen and Müller, Raphael}, year={2020}, pages={311–322} }'
  chicago: 'Klüners, Jürgen, and Raphael Müller. “The Conductor Density of Local Function
    Fields with Abelian Galois Group.” <i>Journal of Number Theory</i> 212 (2020):
    311–22. <a href="https://doi.org/10.1016/j.jnt.2019.11.007">https://doi.org/10.1016/j.jnt.2019.11.007</a>.'
  ieee: 'J. Klüners and R. Müller, “The conductor density of local function fields
    with abelian Galois group,” <i>Journal of Number Theory</i>, vol. 212, pp. 311–322,
    2020, doi: <a href="https://doi.org/10.1016/j.jnt.2019.11.007">10.1016/j.jnt.2019.11.007</a>.'
  mla: Klüners, Jürgen, and Raphael Müller. “The Conductor Density of Local Function
    Fields with Abelian Galois Group.” <i>Journal of Number Theory</i>, vol. 212,
    Elsevier BV, 2020, pp. 311–22, doi:<a href="https://doi.org/10.1016/j.jnt.2019.11.007">10.1016/j.jnt.2019.11.007</a>.
  short: J. Klüners, R. Müller, Journal of Number Theory 212 (2020) 311–322.
date_created: 2022-12-22T10:50:03Z
date_updated: 2025-06-13T08:18:30Z
department:
- _id: '102'
doi: 10.1016/j.jnt.2019.11.007
external_id:
  arxiv:
  - '1904.02573 '
intvolume: '       212'
keyword:
- Algebra and Number Theory
language:
- iso: eng
page: 311-322
publication: Journal of Number Theory
publication_identifier:
  issn:
  - 0022-314X
publication_status: published
publisher: Elsevier BV
status: public
title: The conductor density of local function fields with abelian Galois group
type: journal_article
user_id: '82981'
volume: 212
year: '2020'
...