---
_id: '63636'
article_type: original
author:
- first_name: Benjamin
  full_name: Hinrichs, Benjamin
  id: '99427'
  last_name: Hinrichs
  orcid: 0000-0001-9074-1205
- first_name: Jonas
  full_name: Lampart, Jonas
  last_name: Lampart
citation:
  ama: Hinrichs B, Lampart J. A Lower Bound on the Critical Momentum of an Impurity
    in a Bose–Einstein Condensate. <i>Comptes Rendus Mathématique</i>. 2024;362(G11):1399-1411.
    doi:<a href="https://doi.org/10.5802/crmath.652">10.5802/crmath.652</a>
  apa: Hinrichs, B., &#38; Lampart, J. (2024). A Lower Bound on the Critical Momentum
    of an Impurity in a Bose–Einstein Condensate. <i>Comptes Rendus. Mathématique</i>,
    <i>362</i>(G11), 1399–1411. <a href="https://doi.org/10.5802/crmath.652">https://doi.org/10.5802/crmath.652</a>
  bibtex: '@article{Hinrichs_Lampart_2024, title={A Lower Bound on the Critical Momentum
    of an Impurity in a Bose–Einstein Condensate}, volume={362}, DOI={<a href="https://doi.org/10.5802/crmath.652">10.5802/crmath.652</a>},
    number={G11}, journal={Comptes Rendus. Mathématique}, publisher={MathDoc/Centre
    Mersenne}, author={Hinrichs, Benjamin and Lampart, Jonas}, year={2024}, pages={1399–1411}
    }'
  chicago: 'Hinrichs, Benjamin, and Jonas Lampart. “A Lower Bound on the Critical
    Momentum of an Impurity in a Bose–Einstein Condensate.” <i>Comptes Rendus. Mathématique</i>
    362, no. G11 (2024): 1399–1411. <a href="https://doi.org/10.5802/crmath.652">https://doi.org/10.5802/crmath.652</a>.'
  ieee: 'B. Hinrichs and J. Lampart, “A Lower Bound on the Critical Momentum of an
    Impurity in a Bose–Einstein Condensate,” <i>Comptes Rendus. Mathématique</i>,
    vol. 362, no. G11, pp. 1399–1411, 2024, doi: <a href="https://doi.org/10.5802/crmath.652">10.5802/crmath.652</a>.'
  mla: Hinrichs, Benjamin, and Jonas Lampart. “A Lower Bound on the Critical Momentum
    of an Impurity in a Bose–Einstein Condensate.” <i>Comptes Rendus. Mathématique</i>,
    vol. 362, no. G11, MathDoc/Centre Mersenne, 2024, pp. 1399–411, doi:<a href="https://doi.org/10.5802/crmath.652">10.5802/crmath.652</a>.
  short: B. Hinrichs, J. Lampart, Comptes Rendus. Mathématique 362 (2024) 1399–1411.
date_created: 2026-01-16T08:43:59Z
date_updated: 2026-01-16T08:45:25Z
department:
- _id: '799'
doi: 10.5802/crmath.652
external_id:
  arxiv:
  - '2311.05361'
intvolume: '       362'
issue: G11
language:
- iso: eng
main_file_link:
- open_access: '1'
oa: '1'
page: 1399-1411
project:
- _id: '266'
  name: 'PhoQC: Photonisches Quantencomputing'
publication: Comptes Rendus. Mathématique
publication_identifier:
  issn:
  - 1631-073X
  - 1778-3569
publication_status: published
publisher: MathDoc/Centre Mersenne
status: public
title: A Lower Bound on the Critical Momentum of an Impurity in a Bose–Einstein Condensate
type: journal_article
user_id: '99427'
volume: 362
year: '2024'
...
---
_id: '34894'
abstract:
- lang: eng
  text: 'In this Note we give a counter example to a conjecture of Malle which predicts
    the asymptotic behavior of the counting functions for field extensions with given
    Galois group and bounded discriminant. '
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Klüners J. A counter example to Malle’s conjecture on the asymptotics of discriminants.
    <i>Comptes Rendus Mathematique</i>. 2005;340(6):411-414. doi:<a href="https://doi.org/10.1016/j.crma.2005.02.010">10.1016/j.crma.2005.02.010</a>
  apa: Klüners, J. (2005). A counter example to Malle’s conjecture on the asymptotics
    of discriminants. <i>Comptes Rendus Mathematique</i>, <i>340</i>(6), 411–414.
    <a href="https://doi.org/10.1016/j.crma.2005.02.010">https://doi.org/10.1016/j.crma.2005.02.010</a>
  bibtex: '@article{Klüners_2005, title={A counter example to Malle’s conjecture on
    the asymptotics of discriminants}, volume={340}, DOI={<a href="https://doi.org/10.1016/j.crma.2005.02.010">10.1016/j.crma.2005.02.010</a>},
    number={6}, journal={Comptes Rendus Mathematique}, publisher={Elsevier BV}, author={Klüners,
    Jürgen}, year={2005}, pages={411–414} }'
  chicago: 'Klüners, Jürgen. “A Counter Example to Malle’s Conjecture on the Asymptotics
    of Discriminants.” <i>Comptes Rendus Mathematique</i> 340, no. 6 (2005): 411–14.
    <a href="https://doi.org/10.1016/j.crma.2005.02.010">https://doi.org/10.1016/j.crma.2005.02.010</a>.'
  ieee: 'J. Klüners, “A counter example to Malle’s conjecture on the asymptotics of
    discriminants,” <i>Comptes Rendus Mathematique</i>, vol. 340, no. 6, pp. 411–414,
    2005, doi: <a href="https://doi.org/10.1016/j.crma.2005.02.010">10.1016/j.crma.2005.02.010</a>.'
  mla: Klüners, Jürgen. “A Counter Example to Malle’s Conjecture on the Asymptotics
    of Discriminants.” <i>Comptes Rendus Mathematique</i>, vol. 340, no. 6, Elsevier
    BV, 2005, pp. 411–14, doi:<a href="https://doi.org/10.1016/j.crma.2005.02.010">10.1016/j.crma.2005.02.010</a>.
  short: J. Klüners, Comptes Rendus Mathematique 340 (2005) 411–414.
date_created: 2022-12-23T09:44:05Z
date_updated: 2023-03-06T09:15:10Z
department:
- _id: '102'
doi: 10.1016/j.crma.2005.02.010
external_id:
  arxiv:
  - 'math/0411486 '
intvolume: '       340'
issue: '6'
keyword:
- General Mathematics
language:
- iso: eng
page: 411-414
publication: Comptes Rendus Mathematique
publication_identifier:
  issn:
  - 1631-073X
publication_status: published
publisher: Elsevier BV
status: public
title: A counter example to Malle's conjecture on the asymptotics of discriminants
type: journal_article
user_id: '93826'
volume: 340
year: '2005'
...
