---
_id: '64180'
author:
- first_name: Fabian
  full_name: Gundlach, Fabian
  id: '100450'
  last_name: Gundlach
- first_name: Beranger Fabrice
  full_name: Seguin, Beranger Fabrice
  id: '102487'
  last_name: Seguin
citation:
  ama: Gundlach F, Seguin BF. Asymptotics of extensions of simple ℚ-algebras. <i>Algebra
    &#38; Number Theory</i>. 2026;20(2):383-418. doi:<a href="https://doi.org/10.2140/ant.2026.20.383">10.2140/ant.2026.20.383</a>
  apa: Gundlach, F., &#38; Seguin, B. F. (2026). Asymptotics of extensions of simple
    ℚ-algebras. <i>Algebra &#38; Number Theory</i>, <i>20</i>(2), 383–418. <a href="https://doi.org/10.2140/ant.2026.20.383">https://doi.org/10.2140/ant.2026.20.383</a>
  bibtex: '@article{Gundlach_Seguin_2026, title={Asymptotics of extensions of simple
    ℚ-algebras}, volume={20}, DOI={<a href="https://doi.org/10.2140/ant.2026.20.383">10.2140/ant.2026.20.383</a>},
    number={2}, journal={Algebra &#38; Number Theory}, publisher={Mathematical Sciences
    Publishers}, author={Gundlach, Fabian and Seguin, Beranger Fabrice}, year={2026},
    pages={383–418} }'
  chicago: 'Gundlach, Fabian, and Beranger Fabrice Seguin. “Asymptotics of Extensions
    of Simple ℚ-Algebras.” <i>Algebra &#38; Number Theory</i> 20, no. 2 (2026): 383–418.
    <a href="https://doi.org/10.2140/ant.2026.20.383">https://doi.org/10.2140/ant.2026.20.383</a>.'
  ieee: 'F. Gundlach and B. F. Seguin, “Asymptotics of extensions of simple ℚ-algebras,”
    <i>Algebra &#38; Number Theory</i>, vol. 20, no. 2, pp. 383–418, 2026, doi: <a
    href="https://doi.org/10.2140/ant.2026.20.383">10.2140/ant.2026.20.383</a>.'
  mla: Gundlach, Fabian, and Beranger Fabrice Seguin. “Asymptotics of Extensions of
    Simple ℚ-Algebras.” <i>Algebra &#38; Number Theory</i>, vol. 20, no. 2, Mathematical
    Sciences Publishers, 2026, pp. 383–418, doi:<a href="https://doi.org/10.2140/ant.2026.20.383">10.2140/ant.2026.20.383</a>.
  short: F. Gundlach, B.F. Seguin, Algebra &#38; Number Theory 20 (2026) 383–418.
date_created: 2026-02-16T12:43:21Z
date_updated: 2026-02-17T13:02:21Z
doi: 10.2140/ant.2026.20.383
intvolume: '        20'
issue: '2'
language:
- iso: eng
page: 383-418
publication: Algebra & Number Theory
publication_identifier:
  issn:
  - 1944-7833
  - 1937-0652
publication_status: published
publisher: Mathematical Sciences Publishers
status: public
title: Asymptotics of extensions of simple ℚ-algebras
type: journal_article
user_id: '102487'
volume: 20
year: '2026'
...
---
_id: '34887'
abstract:
- lang: eng
  text: 'Let d be a nonsquare positive integer. We give the value of the natural probability
    that the narrow ideal class groups of the quadratic fields ℚ(√d) and ℚ(√−d) have
    the same 4-ranks. '
author:
- first_name: Étienne
  full_name: Fouvry, Étienne
  last_name: Fouvry
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Fouvry É, Klüners J. On the Spiegelungssatz for the 4-rank. <i>Algebra &#38;amp;
    Number Theory</i>. 2010;4(5):493-508. doi:<a href="https://doi.org/10.2140/ant.2010.4.493">10.2140/ant.2010.4.493</a>
  apa: Fouvry, É., &#38; Klüners, J. (2010). On the Spiegelungssatz for the 4-rank.
    <i>Algebra &#38;amp; Number Theory</i>, <i>4</i>(5), 493–508. <a href="https://doi.org/10.2140/ant.2010.4.493">https://doi.org/10.2140/ant.2010.4.493</a>
  bibtex: '@article{Fouvry_Klüners_2010, title={On the Spiegelungssatz for the 4-rank},
    volume={4}, DOI={<a href="https://doi.org/10.2140/ant.2010.4.493">10.2140/ant.2010.4.493</a>},
    number={5}, journal={Algebra &#38;amp; Number Theory}, publisher={Mathematical
    Sciences Publishers}, author={Fouvry, Étienne and Klüners, Jürgen}, year={2010},
    pages={493–508} }'
  chicago: 'Fouvry, Étienne, and Jürgen Klüners. “On the Spiegelungssatz for the 4-Rank.”
    <i>Algebra &#38;amp; Number Theory</i> 4, no. 5 (2010): 493–508. <a href="https://doi.org/10.2140/ant.2010.4.493">https://doi.org/10.2140/ant.2010.4.493</a>.'
  ieee: 'É. Fouvry and J. Klüners, “On the Spiegelungssatz for the 4-rank,” <i>Algebra
    &#38;amp; Number Theory</i>, vol. 4, no. 5, pp. 493–508, 2010, doi: <a href="https://doi.org/10.2140/ant.2010.4.493">10.2140/ant.2010.4.493</a>.'
  mla: Fouvry, Étienne, and Jürgen Klüners. “On the Spiegelungssatz for the 4-Rank.”
    <i>Algebra &#38;amp; Number Theory</i>, vol. 4, no. 5, Mathematical Sciences Publishers,
    2010, pp. 493–508, doi:<a href="https://doi.org/10.2140/ant.2010.4.493">10.2140/ant.2010.4.493</a>.
  short: É. Fouvry, J. Klüners, Algebra &#38;amp; Number Theory 4 (2010) 493–508.
date_created: 2022-12-23T09:10:12Z
date_updated: 2023-03-06T10:18:14Z
department:
- _id: '102'
doi: 10.2140/ant.2010.4.493
intvolume: '         4'
issue: '5'
keyword:
- Algebra and Number Theory
language:
- iso: eng
page: 493-508
publication: Algebra &amp; Number Theory
publication_identifier:
  issn:
  - 1937-0652
publication_status: published
publisher: Mathematical Sciences Publishers
status: public
title: On the Spiegelungssatz for the 4-rank
type: journal_article
user_id: '93826'
volume: 4
year: '2010'
...