---
_id: '34897'
abstract:
- lang: eng
  text: This paper announces the creation of a database for number fields. It describes
    the contents and the methods of access, indicates the origin of the polynomials,
    and formulates the aims of this collection of fields.
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
- first_name: Gunter
  full_name: Malle, Gunter
  last_name: Malle
citation:
  ama: Klüners J, Malle G. A Database for Field Extensions of the Rationals. <i>LMS
    Journal of Computation and Mathematics</i>. 2001;4:182-196. doi:<a href="https://doi.org/10.1112/s1461157000000851">10.1112/s1461157000000851</a>
  apa: Klüners, J., &#38; Malle, G. (2001). A Database for Field Extensions of the
    Rationals. <i>LMS Journal of Computation and Mathematics</i>, <i>4</i>, 182–196.
    <a href="https://doi.org/10.1112/s1461157000000851">https://doi.org/10.1112/s1461157000000851</a>
  bibtex: '@article{Klüners_Malle_2001, title={A Database for Field Extensions of
    the Rationals}, volume={4}, DOI={<a href="https://doi.org/10.1112/s1461157000000851">10.1112/s1461157000000851</a>},
    journal={LMS Journal of Computation and Mathematics}, publisher={Wiley}, author={Klüners,
    Jürgen and Malle, Gunter}, year={2001}, pages={182–196} }'
  chicago: 'Klüners, Jürgen, and Gunter Malle. “A Database for Field Extensions of
    the Rationals.” <i>LMS Journal of Computation and Mathematics</i> 4 (2001): 182–96.
    <a href="https://doi.org/10.1112/s1461157000000851">https://doi.org/10.1112/s1461157000000851</a>.'
  ieee: 'J. Klüners and G. Malle, “A Database for Field Extensions of the Rationals,”
    <i>LMS Journal of Computation and Mathematics</i>, vol. 4, pp. 182–196, 2001,
    doi: <a href="https://doi.org/10.1112/s1461157000000851">10.1112/s1461157000000851</a>.'
  mla: Klüners, Jürgen, and Gunter Malle. “A Database for Field Extensions of the
    Rationals.” <i>LMS Journal of Computation and Mathematics</i>, vol. 4, Wiley,
    2001, pp. 182–96, doi:<a href="https://doi.org/10.1112/s1461157000000851">10.1112/s1461157000000851</a>.
  short: J. Klüners, G. Malle, LMS Journal of Computation and Mathematics 4 (2001)
    182–196.
date_created: 2022-12-23T09:56:22Z
date_updated: 2023-03-02T09:53:08Z
department:
- _id: '102'
doi: 10.1112/s1461157000000851
external_id:
  arxiv:
  - math/0102232
intvolume: '         4'
keyword:
- Computational Theory and Mathematics
- General Mathematics
language:
- iso: eng
page: 182-196
publication: LMS Journal of Computation and Mathematics
publication_identifier:
  issn:
  - 1461-1570
publication_status: published
publisher: Wiley
status: public
title: A Database for Field Extensions of the Rationals
type: journal_article
user_id: '93826'
volume: 4
year: '2001'
...
---
_id: '44536'
author:
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
- first_name: Yu.
  full_name: Drozd, Yu.
  last_name: Drozd
- first_name: G.-M.
  full_name: Greuel, G.-M.
  last_name: Greuel
citation:
  ama: 'Burban I, Drozd Yu, Greuel G-M. Vector bundles on singular projective curves.
    In: Ciliberto C, ed. <i>Applications of Algebraic Geometry to Coding Theory, Physics
    and Computation</i>. Kluwer Academic Publishers; 2001:1–15.'
  apa: Burban, I., Drozd, Yu., &#38; Greuel, G.-M. (2001). Vector bundles on singular
    projective curves. In C. Ciliberto (Ed.), <i>Applications of algebraic geometry
    to coding theory, physics and computation</i> (pp. 1–15). Kluwer Academic Publishers.
  bibtex: '@inbook{Burban_Drozd_Greuel_2001, title={Vector bundles on singular projective
    curves}, booktitle={Applications of algebraic geometry to coding theory, physics
    and computation}, publisher={Kluwer Academic Publishers}, author={Burban, Igor
    and Drozd, Yu. and Greuel, G.-M.}, editor={Ciliberto, Ciro}, year={2001}, pages={1–15}
    }'
  chicago: Burban, Igor, Yu. Drozd, and G.-M. Greuel. “Vector Bundles on Singular
    Projective Curves.” In <i>Applications of Algebraic Geometry to Coding Theory,
    Physics and Computation</i>, edited by Ciro Ciliberto, 1–15. Kluwer Academic Publishers,
    2001.
  ieee: I. Burban, Yu. Drozd, and G.-M. Greuel, “Vector bundles on singular projective
    curves,” in <i>Applications of algebraic geometry to coding theory, physics and
    computation</i>, C. Ciliberto, Ed. Kluwer Academic Publishers, 2001, pp. 1–15.
  mla: Burban, Igor, et al. “Vector Bundles on Singular Projective Curves.” <i>Applications
    of Algebraic Geometry to Coding Theory, Physics and Computation</i>, edited by
    Ciro Ciliberto, Kluwer Academic Publishers, 2001, pp. 1–15.
  short: 'I. Burban, Yu. Drozd, G.-M. Greuel, in: C. Ciliberto (Ed.), Applications
    of Algebraic Geometry to Coding Theory, Physics and Computation, Kluwer Academic
    Publishers, 2001, pp. 1–15.'
conference:
  end_date: 2001-03-01
  location: Eilat, Israel
  name: Proceedings of the NATO advanced research workshop
  start_date: 2001-02-25
date_created: 2023-05-07T00:52:27Z
date_updated: 2023-05-07T01:37:19Z
department:
- _id: '602'
editor:
- first_name: Ciro
  full_name: Ciliberto, Ciro
  last_name: Ciliberto
extern: '1'
language:
- iso: eng
page: 1–15
publication: Applications of algebraic geometry to coding theory, physics and computation
publication_status: published
publisher: Kluwer Academic Publishers
status: public
title: Vector bundles on singular projective curves
type: book_chapter
user_id: '49063'
year: '2001'
...
---
_id: '56911'
author:
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
citation:
  ama: 'Biehler R. Statistische Kompetenz von Schülerinnen und Schülern-Konzepte und
    Ergebnisse empirischer Studien am Beispiel des Vergleichens empirischer Verteilungen.
    In: Borovcnik M, Engel J, Wickmann D, eds. <i>Anregungen zum Stochastikunterricht</i>.
    Franzbecker; 2001:97–114.'
  apa: Biehler, R. (2001). Statistische Kompetenz von Schülerinnen und Schülern-Konzepte
    und Ergebnisse empirischer Studien am Beispiel des Vergleichens empirischer Verteilungen.
    In M. Borovcnik, J. Engel, &#38; D. Wickmann (Eds.), <i>Anregungen zum Stochastikunterricht</i>
    (pp. 97–114). Franzbecker.
  bibtex: '@inbook{Biehler_2001, place={Hildesheim}, title={Statistische Kompetenz
    von Schülerinnen und Schülern-Konzepte und Ergebnisse empirischer Studien am Beispiel
    des Vergleichens empirischer Verteilungen}, booktitle={Anregungen zum Stochastikunterricht},
    publisher={Franzbecker}, author={Biehler, Rolf}, editor={Borovcnik, M. and Engel,
    J. and Wickmann, D.}, year={2001}, pages={97–114} }'
  chicago: 'Biehler, Rolf. “Statistische Kompetenz von Schülerinnen und Schülern-Konzepte
    und Ergebnisse empirischer Studien am Beispiel des Vergleichens empirischer Verteilungen.”
    In <i>Anregungen zum Stochastikunterricht</i>, edited by M. Borovcnik, J. Engel,
    and D. Wickmann, 97–114. Hildesheim: Franzbecker, 2001.'
  ieee: 'R. Biehler, “Statistische Kompetenz von Schülerinnen und Schülern-Konzepte
    und Ergebnisse empirischer Studien am Beispiel des Vergleichens empirischer Verteilungen,”
    in <i>Anregungen zum Stochastikunterricht</i>, M. Borovcnik, J. Engel, and D.
    Wickmann, Eds. Hildesheim: Franzbecker, 2001, pp. 97–114.'
  mla: Biehler, Rolf. “Statistische Kompetenz von Schülerinnen und Schülern-Konzepte
    und Ergebnisse empirischer Studien am Beispiel des Vergleichens empirischer Verteilungen.”
    <i>Anregungen zum Stochastikunterricht</i>, edited by M. Borovcnik et al., Franzbecker,
    2001, pp. 97–114.
  short: 'R. Biehler, in: M. Borovcnik, J. Engel, D. Wickmann (Eds.), Anregungen zum
    Stochastikunterricht, Franzbecker, Hildesheim, 2001, pp. 97–114.'
date_created: 2024-11-06T10:09:16Z
date_updated: 2024-11-06T10:11:45Z
department:
- _id: '363'
editor:
- first_name: M.
  full_name: Borovcnik, M.
  last_name: Borovcnik
- first_name: J.
  full_name: Engel, J.
  last_name: Engel
- first_name: D.
  full_name: Wickmann, D.
  last_name: Wickmann
extern: '1'
language:
- iso: ger
page: 97–114
place: Hildesheim
publication: Anregungen zum Stochastikunterricht
publisher: Franzbecker
status: public
title: Statistische Kompetenz von Schülerinnen und Schülern-Konzepte und Ergebnisse
  empirischer Studien am Beispiel des Vergleichens empirischer Verteilungen
type: book_chapter
user_id: '37888'
year: '2001'
...
---
_id: '56910'
author:
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
citation:
  ama: 'Biehler R. Students’ difficulties in practising computer supported data analysis
    - Some hypothetical generaliza-tions from results of two exploratory studies.
    In: Weigand HG, ed. <i>Developments in Mathematics Education in Germany</i>. Franzbecker;
    2001:18-30.'
  apa: Biehler, R. (2001). Students’ difficulties in practising computer supported
    data analysis - Some hypothetical generaliza-tions from results of two exploratory
    studies. In H. G. Weigand (Ed.), <i>Developments in Mathematics Education in Germany</i>
    (pp. 18–30). Franzbecker.
  bibtex: '@inbook{Biehler_2001, place={Hildesheim}, title={Students’ difficulties
    in practising computer supported data analysis - Some hypothetical generaliza-tions
    from results of two exploratory studies}, booktitle={Developments in Mathematics
    Education in Germany}, publisher={Franzbecker}, author={Biehler, Rolf}, editor={Weigand,
    H. G.}, year={2001}, pages={18–30} }'
  chicago: 'Biehler, Rolf. “Students’ Difficulties in Practising Computer Supported
    Data Analysis - Some Hypothetical Generaliza-Tions from Results of Two Exploratory
    Studies.” In <i>Developments in Mathematics Education in Germany</i>, edited by
    H. G. Weigand, 18–30. Hildesheim: Franzbecker, 2001.'
  ieee: 'R. Biehler, “Students’ difficulties in practising computer supported data
    analysis - Some hypothetical generaliza-tions from results of two exploratory
    studies,” in <i>Developments in Mathematics Education in Germany</i>, H. G. Weigand,
    Ed. Hildesheim: Franzbecker, 2001, pp. 18–30.'
  mla: Biehler, Rolf. “Students’ Difficulties in Practising Computer Supported Data
    Analysis - Some Hypothetical Generaliza-Tions from Results of Two Exploratory
    Studies.” <i>Developments in Mathematics Education in Germany</i>, edited by H.
    G. Weigand, Franzbecker, 2001, pp. 18–30.
  short: 'R. Biehler, in: H.G. Weigand (Ed.), Developments in Mathematics Education
    in Germany, Franzbecker, Hildesheim, 2001, pp. 18–30.'
date_created: 2024-11-06T10:08:48Z
date_updated: 2024-11-06T10:13:22Z
department:
- _id: '363'
editor:
- first_name: H. G.
  full_name: Weigand, H. G.
  last_name: Weigand
extern: '1'
language:
- iso: eng
page: 18-30
place: Hildesheim
publication: Developments in Mathematics Education in Germany
publisher: Franzbecker
status: public
title: Students' difficulties in practising computer supported data analysis - Some
  hypothetical generaliza-tions from results of two exploratory studies
type: book_chapter
user_id: '37888'
year: '2001'
...
---
_id: '56908'
author:
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: S.
  full_name: Schweynoch, S.
  last_name: Schweynoch
citation:
  ama: 'Biehler R, Schweynoch S. Internetgestütztes kooperatives Lösen von authentischen
    Problemen - Erfahrungen aus Data Sha-ring Projekten. In: <i>Beiträge Zum Mathematikunterricht
    2001</i>. WTM-Verlag; 2001:112-116.'
  apa: Biehler, R., &#38; Schweynoch, S. (2001). Internetgestütztes kooperatives Lösen
    von authentischen Problemen - Erfahrungen aus Data Sha-ring Projekten. In <i>Beiträge
    zum Mathematikunterricht 2001</i> (pp. 112–116). WTM-Verlag.
  bibtex: '@inbook{Biehler_Schweynoch_2001, place={Münster}, title={Internetgestütztes
    kooperatives Lösen von authentischen Problemen - Erfahrungen aus Data Sha-ring
    Projekten}, booktitle={Beiträge zum Mathematikunterricht 2001}, publisher={WTM-Verlag},
    author={Biehler, Rolf and Schweynoch, S.}, year={2001}, pages={112–116} }'
  chicago: 'Biehler, Rolf, and S. Schweynoch. “Internetgestütztes Kooperatives Lösen
    von Authentischen Problemen - Erfahrungen Aus Data Sha-Ring Projekten.” In <i>Beiträge
    Zum Mathematikunterricht 2001</i>, 112–16. Münster: WTM-Verlag, 2001.'
  ieee: 'R. Biehler and S. Schweynoch, “Internetgestütztes kooperatives Lösen von
    authentischen Problemen - Erfahrungen aus Data Sha-ring Projekten,” in <i>Beiträge
    zum Mathematikunterricht 2001</i>, Münster: WTM-Verlag, 2001, pp. 112–116.'
  mla: Biehler, Rolf, and S. Schweynoch. “Internetgestütztes Kooperatives Lösen von
    Authentischen Problemen - Erfahrungen Aus Data Sha-Ring Projekten.” <i>Beiträge
    Zum Mathematikunterricht 2001</i>, WTM-Verlag, 2001, pp. 112–16.
  short: 'R. Biehler, S. Schweynoch, in: Beiträge Zum Mathematikunterricht 2001, WTM-Verlag,
    Münster, 2001, pp. 112–116.'
date_created: 2024-11-06T10:05:22Z
date_updated: 2024-11-06T10:13:29Z
department:
- _id: '363'
extern: '1'
language:
- iso: eng
page: 112-116
place: Münster
publication: Beiträge zum Mathematikunterricht 2001
publisher: WTM-Verlag
status: public
title: Internetgestütztes kooperatives Lösen von authentischen Problemen - Erfahrungen
  aus Data Sha-ring Projekten
type: book_chapter
user_id: '37888'
year: '2001'
...
---
_id: '56909'
author:
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: S.
  full_name: Schweynoch, S.
  last_name: Schweynoch
citation:
  ama: 'Biehler R, Schweynoch S. Statistische Kompetenz: Entwicklung und Auswertung
    eines diagnostischen Tests. In: <i>Beiträge zum Mathematikunterricht 2001</i>.
    WTM-Verlag; 2001:568-571.'
  apa: 'Biehler, R., &#38; Schweynoch, S. (2001). Statistische Kompetenz: Entwicklung
    und Auswertung eines diagnostischen Tests. In <i>Beiträge zum Mathematikunterricht
    2001</i> (pp. 568–571). WTM-Verlag.'
  bibtex: '@inbook{Biehler_Schweynoch_2001, place={Münster}, title={Statistische Kompetenz:
    Entwicklung und Auswertung eines diagnostischen Tests}, booktitle={Beiträge zum
    Mathematikunterricht 2001}, publisher={WTM-Verlag}, author={Biehler, Rolf and
    Schweynoch, S.}, year={2001}, pages={568–571} }'
  chicago: 'Biehler, Rolf, and S. Schweynoch. “Statistische Kompetenz: Entwicklung
    und Auswertung eines diagnostischen Tests.” In <i>Beiträge zum Mathematikunterricht
    2001</i>, 568–71. Münster: WTM-Verlag, 2001.'
  ieee: 'R. Biehler and S. Schweynoch, “Statistische Kompetenz: Entwicklung und Auswertung
    eines diagnostischen Tests,” in <i>Beiträge zum Mathematikunterricht 2001</i>,
    Münster: WTM-Verlag, 2001, pp. 568–571.'
  mla: 'Biehler, Rolf, and S. Schweynoch. “Statistische Kompetenz: Entwicklung und
    Auswertung eines diagnostischen Tests.” <i>Beiträge zum Mathematikunterricht 2001</i>,
    WTM-Verlag, 2001, pp. 568–71.'
  short: 'R. Biehler, S. Schweynoch, in: Beiträge zum Mathematikunterricht 2001, WTM-Verlag,
    Münster, 2001, pp. 568–571.'
date_created: 2024-11-06T10:06:45Z
date_updated: 2024-11-06T10:13:25Z
department:
- _id: '363'
extern: '1'
language:
- iso: ger
page: 568-571
place: Münster
publication: Beiträge zum Mathematikunterricht 2001
publisher: WTM-Verlag
status: public
title: 'Statistische Kompetenz: Entwicklung und Auswertung eines diagnostischen Tests'
type: book_chapter
user_id: '37888'
year: '2001'
...
---
_id: '64723'
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
- first_name: Karl-Hermann
  full_name: Neeb, Karl-Hermann
  last_name: Neeb
citation:
  ama: 'Glöckner H, Neeb K-H. Minimally almost periodic Abelian groups and commutative
    W^*-algebras. In: <i>Nuclear Groups and Lie Groups. Selected Lectures of the Workshop,
    Madrid, Spain, September 1999</i>. Lemgo: Heldermann Verlag; 2001:163–185.'
  apa: 'Glöckner, H., &#38; Neeb, K.-H. (2001). Minimally almost periodic Abelian
    groups and commutative W^*-algebras. In <i>Nuclear groups and Lie groups. Selected
    lectures of the workshop, Madrid, Spain, September 1999</i> (pp. 163–185). Lemgo:
    Heldermann Verlag.'
  bibtex: '@inbook{Glöckner_Neeb_2001, title={Minimally almost periodic Abelian groups
    and commutative W^*-algebras}, booktitle={Nuclear groups and Lie groups. Selected
    lectures of the workshop, Madrid, Spain, September 1999}, publisher={Lemgo: Heldermann
    Verlag}, author={Glöckner, Helge and Neeb, Karl-Hermann}, year={2001}, pages={163–185}
    }'
  chicago: 'Glöckner, Helge, and Karl-Hermann Neeb. “Minimally Almost Periodic Abelian
    Groups and Commutative W^*-Algebras.” In <i>Nuclear Groups and Lie Groups. Selected
    Lectures of the Workshop, Madrid, Spain, September 1999</i>, 163–185. Lemgo: Heldermann
    Verlag, 2001.'
  ieee: 'H. Glöckner and K.-H. Neeb, “Minimally almost periodic Abelian groups and
    commutative W^*-algebras,” in <i>Nuclear groups and Lie groups. Selected lectures
    of the workshop, Madrid, Spain, September 1999</i>, Lemgo: Heldermann Verlag,
    2001, pp. 163–185.'
  mla: 'Glöckner, Helge, and Karl-Hermann Neeb. “Minimally Almost Periodic Abelian
    Groups and Commutative W^*-Algebras.” <i>Nuclear Groups and Lie Groups. Selected
    Lectures of the Workshop, Madrid, Spain, September 1999</i>, Lemgo: Heldermann
    Verlag, 2001, pp. 163–185.'
  short: 'H. Glöckner, K.-H. Neeb, in: Nuclear Groups and Lie Groups. Selected Lectures
    of the Workshop, Madrid, Spain, September 1999, Lemgo: Heldermann Verlag, 2001,
    pp. 163–185.'
date_created: 2026-02-26T13:01:58Z
date_updated: 2026-02-26T13:05:03Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
extern: '1'
keyword:
- 22A05
- 22A10
- 46L99
language:
- iso: eng
page: 163–185
publication: Nuclear groups and Lie groups. Selected lectures of the workshop, Madrid,
  Spain, September 1999
publication_identifier:
  isbn:
  - 3-88538-224-5
publisher: 'Lemgo: Heldermann Verlag'
quality_controlled: '1'
status: public
title: Minimally almost periodic Abelian groups and commutative W^*-algebras
type: book_chapter
user_id: '178'
year: '2001'
...
---
_id: '64725'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
- first_name: George A.
  full_name: Willis, George A.
  last_name: Willis
citation:
  ama: Glöckner H, Willis GA. Uniscalar p-adic Lie groups. <i>Forum Mathematicum</i>.
    2001;13(3):413–421. doi:<a href="https://doi.org/10.1515/form.2001.015">10.1515/form.2001.015</a>
  apa: Glöckner, H., &#38; Willis, G. A. (2001). Uniscalar p-adic Lie groups. <i>Forum
    Mathematicum</i>, <i>13</i>(3), 413–421. <a href="https://doi.org/10.1515/form.2001.015">https://doi.org/10.1515/form.2001.015</a>
  bibtex: '@article{Glöckner_Willis_2001, title={Uniscalar p-adic Lie groups}, volume={13},
    DOI={<a href="https://doi.org/10.1515/form.2001.015">10.1515/form.2001.015</a>},
    number={3}, journal={Forum Mathematicum}, author={Glöckner, Helge and Willis,
    George A.}, year={2001}, pages={413–421} }'
  chicago: 'Glöckner, Helge, and George A. Willis. “Uniscalar P-Adic Lie Groups.”
    <i>Forum Mathematicum</i> 13, no. 3 (2001): 413–421. <a href="https://doi.org/10.1515/form.2001.015">https://doi.org/10.1515/form.2001.015</a>.'
  ieee: 'H. Glöckner and G. A. Willis, “Uniscalar p-adic Lie groups,” <i>Forum Mathematicum</i>,
    vol. 13, no. 3, pp. 413–421, 2001, doi: <a href="https://doi.org/10.1515/form.2001.015">10.1515/form.2001.015</a>.'
  mla: Glöckner, Helge, and George A. Willis. “Uniscalar P-Adic Lie Groups.” <i>Forum
    Mathematicum</i>, vol. 13, no. 3, 2001, pp. 413–421, doi:<a href="https://doi.org/10.1515/form.2001.015">10.1515/form.2001.015</a>.
  short: H. Glöckner, G.A. Willis, Forum Mathematicum 13 (2001) 413–421.
date_created: 2026-02-26T13:10:20Z
date_updated: 2026-02-27T07:40:57Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1515/form.2001.015
extern: '1'
intvolume: '        13'
issue: '3'
keyword:
- '22E20'
- 20F50
- '20E08'
language:
- iso: eng
page: 413–421
publication: Forum Mathematicum
publication_identifier:
  issn:
  - 0933-7741
quality_controlled: '1'
status: public
title: Uniscalar p-adic Lie groups
type: journal_article
user_id: '178'
volume: 13
year: '2001'
...
---
_id: '64724'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Functions operating on positive semidefinite quaternionic matrices.
    <i>Monatshefte für Mathematik</i>. 2001;132(4):303–324. doi:<a href="https://doi.org/10.1007/s006050170036">10.1007/s006050170036</a>
  apa: Glöckner, H. (2001). Functions operating on positive semidefinite quaternionic
    matrices. <i>Monatshefte Für Mathematik</i>, <i>132</i>(4), 303–324. <a href="https://doi.org/10.1007/s006050170036">https://doi.org/10.1007/s006050170036</a>
  bibtex: '@article{Glöckner_2001, title={Functions operating on positive semidefinite
    quaternionic matrices}, volume={132}, DOI={<a href="https://doi.org/10.1007/s006050170036">10.1007/s006050170036</a>},
    number={4}, journal={Monatshefte für Mathematik}, author={Glöckner, Helge}, year={2001},
    pages={303–324} }'
  chicago: 'Glöckner, Helge. “Functions Operating on Positive Semidefinite Quaternionic
    Matrices.” <i>Monatshefte Für Mathematik</i> 132, no. 4 (2001): 303–324. <a href="https://doi.org/10.1007/s006050170036">https://doi.org/10.1007/s006050170036</a>.'
  ieee: 'H. Glöckner, “Functions operating on positive semidefinite quaternionic matrices,”
    <i>Monatshefte für Mathematik</i>, vol. 132, no. 4, pp. 303–324, 2001, doi: <a
    href="https://doi.org/10.1007/s006050170036">10.1007/s006050170036</a>.'
  mla: Glöckner, Helge. “Functions Operating on Positive Semidefinite Quaternionic
    Matrices.” <i>Monatshefte Für Mathematik</i>, vol. 132, no. 4, 2001, pp. 303–324,
    doi:<a href="https://doi.org/10.1007/s006050170036">10.1007/s006050170036</a>.
  short: H. Glöckner, Monatshefte Für Mathematik 132 (2001) 303–324.
date_created: 2026-02-26T13:05:32Z
date_updated: 2026-02-27T07:41:36Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1007/s006050170036
extern: '1'
intvolume: '       132'
issue: '4'
keyword:
- 43A35
- 15B48
language:
- iso: eng
page: 303–324
publication: Monatshefte für Mathematik
publication_identifier:
  issn:
  - 0026-9255
quality_controlled: '1'
status: public
title: Functions operating on positive semidefinite quaternionic matrices
type: journal_article
user_id: '178'
volume: 132
year: '2001'
...
---
_id: '16513'
author:
- first_name: P. J.
  full_name: Aston, P. J.
  last_name: Aston
- first_name: M.
  full_name: Dellnitz, M.
  last_name: Dellnitz
citation:
  ama: 'Aston PJ, Dellnitz M. The Computation of Lyapunov Exponents via Spatial Integration
    Using Vector Norms. In: <i>Equadiff 99</i>. ; 2000. doi:<a href="https://doi.org/10.1142/9789812792617_0196">10.1142/9789812792617_0196</a>'
  apa: Aston, P. J., &#38; Dellnitz, M. (2000). The Computation of Lyapunov Exponents
    via Spatial Integration Using Vector Norms. In <i>Equadiff 99</i>. <a href="https://doi.org/10.1142/9789812792617_0196">https://doi.org/10.1142/9789812792617_0196</a>
  bibtex: '@inbook{Aston_Dellnitz_2000, title={The Computation of Lyapunov Exponents
    via Spatial Integration Using Vector Norms}, DOI={<a href="https://doi.org/10.1142/9789812792617_0196">10.1142/9789812792617_0196</a>},
    booktitle={Equadiff 99}, author={Aston, P. J. and Dellnitz, M.}, year={2000} }'
  chicago: Aston, P. J., and M. Dellnitz. “The Computation of Lyapunov Exponents via
    Spatial Integration Using Vector Norms.” In <i>Equadiff 99</i>, 2000. <a href="https://doi.org/10.1142/9789812792617_0196">https://doi.org/10.1142/9789812792617_0196</a>.
  ieee: P. J. Aston and M. Dellnitz, “The Computation of Lyapunov Exponents via Spatial
    Integration Using Vector Norms,” in <i>Equadiff 99</i>, 2000.
  mla: Aston, P. J., and M. Dellnitz. “The Computation of Lyapunov Exponents via Spatial
    Integration Using Vector Norms.” <i>Equadiff 99</i>, 2000, doi:<a href="https://doi.org/10.1142/9789812792617_0196">10.1142/9789812792617_0196</a>.
  short: 'P.J. Aston, M. Dellnitz, in: Equadiff 99, 2000.'
date_created: 2020-04-15T07:53:09Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1142/9789812792617_0196
language:
- iso: eng
publication: Equadiff 99
publication_identifier:
  isbn:
  - '9789810243593'
  - '9789812792617'
publication_status: published
status: public
title: The Computation of Lyapunov Exponents via Spatial Integration Using Vector
  Norms
type: book_chapter
user_id: '15701'
year: '2000'
...
---
_id: '16553'
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Gary
  full_name: Froyland, Gary
  last_name: Froyland
- first_name: Stefan
  full_name: Sertl, Stefan
  last_name: Sertl
citation:
  ama: 'Dellnitz M, Froyland G, Sertl S. A Conjecture on the Existence of Isolated
    Eigenvalues of the Perron-Frobenius Operator. In: <i>Equadiff 99</i>. ; 2000.
    doi:<a href="https://doi.org/10.1142/9789812792617_0199">10.1142/9789812792617_0199</a>'
  apa: Dellnitz, M., Froyland, G., &#38; Sertl, S. (2000). A Conjecture on the Existence
    of Isolated Eigenvalues of the Perron-Frobenius Operator. In <i>Equadiff 99</i>.
    <a href="https://doi.org/10.1142/9789812792617_0199">https://doi.org/10.1142/9789812792617_0199</a>
  bibtex: '@inbook{Dellnitz_Froyland_Sertl_2000, title={A Conjecture on the Existence
    of Isolated Eigenvalues of the Perron-Frobenius Operator}, DOI={<a href="https://doi.org/10.1142/9789812792617_0199">10.1142/9789812792617_0199</a>},
    booktitle={Equadiff 99}, author={Dellnitz, Michael and Froyland, Gary and Sertl,
    Stefan}, year={2000} }'
  chicago: Dellnitz, Michael, Gary Froyland, and Stefan Sertl. “A Conjecture on the
    Existence of Isolated Eigenvalues of the Perron-Frobenius Operator.” In <i>Equadiff
    99</i>, 2000. <a href="https://doi.org/10.1142/9789812792617_0199">https://doi.org/10.1142/9789812792617_0199</a>.
  ieee: M. Dellnitz, G. Froyland, and S. Sertl, “A Conjecture on the Existence of
    Isolated Eigenvalues of the Perron-Frobenius Operator,” in <i>Equadiff 99</i>,
    2000.
  mla: Dellnitz, Michael, et al. “A Conjecture on the Existence of Isolated Eigenvalues
    of the Perron-Frobenius Operator.” <i>Equadiff 99</i>, 2000, doi:<a href="https://doi.org/10.1142/9789812792617_0199">10.1142/9789812792617_0199</a>.
  short: 'M. Dellnitz, G. Froyland, S. Sertl, in: Equadiff 99, 2000.'
date_created: 2020-04-15T09:08:34Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1142/9789812792617_0199
language:
- iso: eng
publication: Equadiff 99
publication_identifier:
  isbn:
  - '9789810243593'
  - '9789812792617'
publication_status: published
status: public
title: A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius
  Operator
type: book_chapter
user_id: '15701'
year: '2000'
...
---
_id: '16554'
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Gary
  full_name: Froyland, Gary
  last_name: Froyland
- first_name: Stefan
  full_name: Sertl, Stefan
  last_name: Sertl
citation:
  ama: Dellnitz M, Froyland G, Sertl S. On the isolated spectrum of the Perron-Frobenius
    operator. <i>Nonlinearity</i>. 2000:1171-1188. doi:<a href="https://doi.org/10.1088/0951-7715/13/4/310">10.1088/0951-7715/13/4/310</a>
  apa: Dellnitz, M., Froyland, G., &#38; Sertl, S. (2000). On the isolated spectrum
    of the Perron-Frobenius operator. <i>Nonlinearity</i>, 1171–1188. <a href="https://doi.org/10.1088/0951-7715/13/4/310">https://doi.org/10.1088/0951-7715/13/4/310</a>
  bibtex: '@article{Dellnitz_Froyland_Sertl_2000, title={On the isolated spectrum
    of the Perron-Frobenius operator}, DOI={<a href="https://doi.org/10.1088/0951-7715/13/4/310">10.1088/0951-7715/13/4/310</a>},
    journal={Nonlinearity}, author={Dellnitz, Michael and Froyland, Gary and Sertl,
    Stefan}, year={2000}, pages={1171–1188} }'
  chicago: Dellnitz, Michael, Gary Froyland, and Stefan Sertl. “On the Isolated Spectrum
    of the Perron-Frobenius Operator.” <i>Nonlinearity</i>, 2000, 1171–88. <a href="https://doi.org/10.1088/0951-7715/13/4/310">https://doi.org/10.1088/0951-7715/13/4/310</a>.
  ieee: M. Dellnitz, G. Froyland, and S. Sertl, “On the isolated spectrum of the Perron-Frobenius
    operator,” <i>Nonlinearity</i>, pp. 1171–1188, 2000.
  mla: Dellnitz, Michael, et al. “On the Isolated Spectrum of the Perron-Frobenius
    Operator.” <i>Nonlinearity</i>, 2000, pp. 1171–88, doi:<a href="https://doi.org/10.1088/0951-7715/13/4/310">10.1088/0951-7715/13/4/310</a>.
  short: M. Dellnitz, G. Froyland, S. Sertl, Nonlinearity (2000) 1171–1188.
date_created: 2020-04-15T09:09:46Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1088/0951-7715/13/4/310
language:
- iso: eng
page: 1171-1188
publication: Nonlinearity
publication_identifier:
  issn:
  - 0951-7715
  - 1361-6544
publication_status: published
status: public
title: On the isolated spectrum of the Perron-Frobenius operator
type: journal_article
user_id: '15701'
year: '2000'
...
---
_id: '16616'
author:
- first_name: Oliver
  full_name: Junge, Oliver
  last_name: Junge
citation:
  ama: 'Junge O. Rigorous discretization of subdivision techniques. In: <i>Equadiff
    99</i>. ; 2000. doi:<a href="https://doi.org/10.1142/9789812792617_0178">10.1142/9789812792617_0178</a>'
  apa: Junge, O. (2000). Rigorous discretization of subdivision techniques. In <i>Equadiff
    99</i>. <a href="https://doi.org/10.1142/9789812792617_0178">https://doi.org/10.1142/9789812792617_0178</a>
  bibtex: '@inbook{Junge_2000, title={Rigorous discretization of subdivision techniques},
    DOI={<a href="https://doi.org/10.1142/9789812792617_0178">10.1142/9789812792617_0178</a>},
    booktitle={Equadiff 99}, author={Junge, Oliver}, year={2000} }'
  chicago: Junge, Oliver. “Rigorous Discretization of Subdivision Techniques.” In
    <i>Equadiff 99</i>, 2000. <a href="https://doi.org/10.1142/9789812792617_0178">https://doi.org/10.1142/9789812792617_0178</a>.
  ieee: O. Junge, “Rigorous discretization of subdivision techniques,” in <i>Equadiff
    99</i>, 2000.
  mla: Junge, Oliver. “Rigorous Discretization of Subdivision Techniques.” <i>Equadiff
    99</i>, 2000, doi:<a href="https://doi.org/10.1142/9789812792617_0178">10.1142/9789812792617_0178</a>.
  short: 'O. Junge, in: Equadiff 99, 2000.'
date_created: 2020-04-16T08:07:52Z
date_updated: 2022-01-06T06:52:53Z
department:
- _id: '101'
doi: 10.1142/9789812792617_0178
language:
- iso: eng
publication: Equadiff 99
publication_identifier:
  isbn:
  - '9789810243593'
  - '9789812792617'
publication_status: published
status: public
title: Rigorous discretization of subdivision techniques
type: book_chapter
user_id: '15701'
year: '2000'
...
---
_id: '17018'
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Oliver
  full_name: Junge, Oliver
  last_name: Junge
- first_name: Martin
  full_name: Rumpf, Martin
  last_name: Rumpf
- first_name: Robert
  full_name: Strzodka, Robert
  last_name: Strzodka
citation:
  ama: 'Dellnitz M, Junge O, Rumpf M, Strzodka R. The computation of an unstable invariant
    set inside a cylinder containing a knotted flow. In: <i>Equadiff 99</i>. ; 2000:1053--1059.
    doi:<a href="https://doi.org/10.1142/9789812792617_0204">10.1142/9789812792617_0204</a>'
  apa: Dellnitz, M., Junge, O., Rumpf, M., &#38; Strzodka, R. (2000). The computation
    of an unstable invariant set inside a cylinder containing a knotted flow. In <i>Equadiff
    99</i> (pp. 1053--1059). <a href="https://doi.org/10.1142/9789812792617_0204">https://doi.org/10.1142/9789812792617_0204</a>
  bibtex: '@inbook{Dellnitz_Junge_Rumpf_Strzodka_2000, title={The computation of an
    unstable invariant set inside a cylinder containing a knotted flow}, DOI={<a href="https://doi.org/10.1142/9789812792617_0204">10.1142/9789812792617_0204</a>},
    booktitle={Equadiff 99}, author={Dellnitz, Michael and Junge, Oliver and Rumpf,
    Martin and Strzodka, Robert}, year={2000}, pages={1053--1059} }'
  chicago: Dellnitz, Michael, Oliver Junge, Martin Rumpf, and Robert Strzodka. “The
    Computation of an Unstable Invariant Set inside a Cylinder Containing a Knotted
    Flow.” In <i>Equadiff 99</i>, 1053--1059, 2000. <a href="https://doi.org/10.1142/9789812792617_0204">https://doi.org/10.1142/9789812792617_0204</a>.
  ieee: M. Dellnitz, O. Junge, M. Rumpf, and R. Strzodka, “The computation of an unstable
    invariant set inside a cylinder containing a knotted flow,” in <i>Equadiff 99</i>,
    2000, pp. 1053--1059.
  mla: Dellnitz, Michael, et al. “The Computation of an Unstable Invariant Set inside
    a Cylinder Containing a Knotted Flow.” <i>Equadiff 99</i>, 2000, pp. 1053--1059,
    doi:<a href="https://doi.org/10.1142/9789812792617_0204">10.1142/9789812792617_0204</a>.
  short: 'M. Dellnitz, O. Junge, M. Rumpf, R. Strzodka, in: Equadiff 99, 2000, pp.
    1053--1059.'
date_created: 2020-05-19T09:13:56Z
date_updated: 2022-01-06T06:53:02Z
department:
- _id: '101'
doi: 10.1142/9789812792617_0204
language:
- iso: eng
page: 1053--1059
publication: Equadiff 99
publication_identifier:
  isbn:
  - '9789810243593'
  - '9789812792617'
publication_status: published
status: public
title: The computation of an unstable invariant set inside a cylinder containing a
  knotted flow
type: book_chapter
user_id: '32643'
year: '2000'
...
---
_id: '51419'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: W.
  full_name: Bertram, W.
  last_name: Bertram
citation:
  ama: Hilgert J, Bertram W. Geometric Hardy and Bergman Spaces. <i>Michigan Math
    J</i>. 2000;47:235-263.
  apa: Hilgert, J., &#38; Bertram, W. (2000). Geometric Hardy and Bergman Spaces.
    <i>Michigan Math. J.</i>, <i>47</i>, 235–263.
  bibtex: '@article{Hilgert_Bertram_2000, title={Geometric Hardy and Bergman Spaces},
    volume={47}, journal={Michigan Math. J.}, author={Hilgert, Joachim and Bertram,
    W.}, year={2000}, pages={235–263} }'
  chicago: 'Hilgert, Joachim, and W. Bertram. “Geometric Hardy and Bergman Spaces.”
    <i>Michigan Math. J.</i> 47 (2000): 235–63.'
  ieee: J. Hilgert and W. Bertram, “Geometric Hardy and Bergman Spaces,” <i>Michigan
    Math. J.</i>, vol. 47, pp. 235–263, 2000.
  mla: Hilgert, Joachim, and W. Bertram. “Geometric Hardy and Bergman Spaces.” <i>Michigan
    Math. J.</i>, vol. 47, 2000, pp. 235–63.
  short: J. Hilgert, W. Bertram, Michigan Math. J. 47 (2000) 235–263.
date_created: 2024-02-19T07:13:37Z
date_updated: 2024-02-20T13:29:01Z
department:
- _id: '91'
extern: '1'
intvolume: '        47'
language:
- iso: eng
page: 235-263
publication: Michigan Math. J.
publication_status: published
status: public
title: Geometric Hardy and Bergman Spaces
type: journal_article
user_id: '49063'
volume: 47
year: '2000'
...
---
_id: '51592'
citation:
  ama: Hilgert J, Doebner H-D, Dobrev VK, eds. <i>Lie Theory and Its Applcations in
    Physics III</i>. World Scientific; 2000.
  apa: Hilgert, J., Doebner, H.-D., &#38; Dobrev, V. K. (Eds.). (2000). <i>Lie Theory
    and its Applcations in Physics III</i>. World Scientific.
  bibtex: '@book{Hilgert_Doebner_Dobrev_2000, title={Lie Theory and its Applcations
    in Physics III}, publisher={World Scientific}, year={2000} }'
  chicago: Hilgert, Joachim, H.-D. Doebner, and V. K. Dobrev, eds. <i>Lie Theory and
    Its Applcations in Physics III</i>. World Scientific, 2000.
  ieee: J. Hilgert, H.-D. Doebner, and V. K. Dobrev, Eds., <i>Lie Theory and its Applcations
    in Physics III</i>. World Scientific, 2000.
  mla: Hilgert, Joachim, et al., editors. <i>Lie Theory and Its Applcations in Physics
    III</i>. World Scientific, 2000.
  short: J. Hilgert, H.-D. Doebner, V.K. Dobrev, eds., Lie Theory and Its Applcations
    in Physics III, World Scientific, 2000.
date_created: 2024-02-20T12:46:52Z
date_updated: 2024-02-20T13:28:41Z
department:
- _id: '91'
editor:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: H.-D.
  full_name: Doebner, H.-D.
  last_name: Doebner
- first_name: V. K.
  full_name: Dobrev, V. K.
  last_name: Dobrev
extern: '1'
language:
- iso: eng
publication_status: published
publisher: World Scientific
status: public
title: Lie Theory and its Applcations in Physics III
type: book_editor
user_id: '49063'
year: '2000'
...
---
_id: '40652'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
citation:
  ama: 'Rösler M. One-parameter semigroups related to abstract quantum models of Calogero
    type. In: <i>Infinite Dimensional Harmonic Analysis (Kyoto 1999)</i>. Gräbner-Verlag;
    2000:290-305.'
  apa: Rösler, M. (2000). One-parameter semigroups related to abstract quantum models
    of Calogero type. <i>Infinite Dimensional Harmonic Analysis (Kyoto 1999)</i>,
    290–305.
  bibtex: '@inproceedings{Rösler_2000, title={One-parameter semigroups related to
    abstract quantum models of Calogero type}, booktitle={Infinite dimensional harmonic
    analysis (Kyoto 1999)}, publisher={Gräbner-Verlag}, author={Rösler, Margit}, year={2000},
    pages={290–305} }'
  chicago: Rösler, Margit. “One-Parameter Semigroups Related to Abstract Quantum Models
    of Calogero Type.” In <i>Infinite Dimensional Harmonic Analysis (Kyoto 1999)</i>,
    290–305. Gräbner-Verlag, 2000.
  ieee: M. Rösler, “One-parameter semigroups related to abstract quantum models of
    Calogero type,” in <i>Infinite dimensional harmonic analysis (Kyoto 1999)</i>,
    2000, pp. 290–305.
  mla: Rösler, Margit. “One-Parameter Semigroups Related to Abstract Quantum Models
    of Calogero Type.” <i>Infinite Dimensional Harmonic Analysis (Kyoto 1999)</i>,
    Gräbner-Verlag, 2000, pp. 290–305.
  short: 'M. Rösler, in: Infinite Dimensional Harmonic Analysis (Kyoto 1999), Gräbner-Verlag,
    2000, pp. 290–305.'
date_created: 2023-01-30T11:04:33Z
date_updated: 2024-04-24T12:48:43Z
department:
- _id: '555'
extern: '1'
language:
- iso: eng
page: 290-305
publication: Infinite dimensional harmonic analysis (Kyoto 1999)
publication_status: published
publisher: Gräbner-Verlag
status: public
title: One-parameter semigroups related to abstract quantum models of Calogero type
type: conference
user_id: '93826'
year: '2000'
...
---
_id: '40172'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
citation:
  ama: 'Rösler M. Short-time estimates for heat kernels associated with root systems.
    In: <i>Special Functions (HongKong 1999)</i>. World Scientific; 2000:309-323.
    doi:<a href="https://doi.org/10.1142/9789812792303_0024">10.1142/9789812792303_0024</a>'
  apa: Rösler, M. (2000). Short-time estimates for heat kernels associated with root
    systems. <i>Special Functions (HongKong 1999)</i>, 309–323. <a href="https://doi.org/10.1142/9789812792303_0024">https://doi.org/10.1142/9789812792303_0024</a>
  bibtex: '@inproceedings{Rösler_2000, title={Short-time estimates for heat kernels
    associated with root systems}, DOI={<a href="https://doi.org/10.1142/9789812792303_0024">10.1142/9789812792303_0024</a>},
    booktitle={Special Functions (HongKong 1999)}, publisher={World Scientific}, author={Rösler,
    Margit}, year={2000}, pages={309–323} }'
  chicago: Rösler, Margit. “Short-Time Estimates for Heat Kernels Associated with
    Root Systems.” In <i>Special Functions (HongKong 1999)</i>, 309–23. World Scientific,
    2000. <a href="https://doi.org/10.1142/9789812792303_0024">https://doi.org/10.1142/9789812792303_0024</a>.
  ieee: 'M. Rösler, “Short-time estimates for heat kernels associated with root systems,”
    in <i>Special Functions (HongKong 1999)</i>, 2000, pp. 309–323, doi: <a href="https://doi.org/10.1142/9789812792303_0024">10.1142/9789812792303_0024</a>.'
  mla: Rösler, Margit. “Short-Time Estimates for Heat Kernels Associated with Root
    Systems.” <i>Special Functions (HongKong 1999)</i>, World Scientific, 2000, pp.
    309–23, doi:<a href="https://doi.org/10.1142/9789812792303_0024">10.1142/9789812792303_0024</a>.
  short: 'M. Rösler, in: Special Functions (HongKong 1999), World Scientific, 2000,
    pp. 309–323.'
date_created: 2023-01-26T07:59:08Z
date_updated: 2023-01-26T17:43:19Z
department:
- _id: '555'
doi: 10.1142/9789812792303_0024
extern: '1'
language:
- iso: eng
page: 309-323
publication: Special Functions (HongKong 1999)
publication_status: published
publisher: World Scientific
status: public
title: Short-time estimates for heat kernels associated with root systems
type: conference
user_id: '37390'
year: '2000'
...
---
_id: '34900'
abstract:
- lang: eng
  text: We describe methods for the computation of Galois groups of univariate polynomials
    over the rationals which we have implemented up to degree 15. These methods are
    based on Stauduhar’s algorithm. All computations are done in unramified p -adic
    extensions. For imprimitive groups we give an improvement using subfields. In
    the primitive case we use known subgroups of the Galois group together with a
    combination of Stauduhar’s method and the absolute resolvent method.
author:
- first_name: Katharina
  full_name: Geissler, Katharina
  last_name: Geissler
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Geissler K, Klüners J. Galois Group Computation for Rational Polynomials. <i>Journal
    of Symbolic Computation</i>. 2000;30(6):653-674. doi:<a href="https://doi.org/10.1006/jsco.2000.0377">10.1006/jsco.2000.0377</a>
  apa: Geissler, K., &#38; Klüners, J. (2000). Galois Group Computation for Rational
    Polynomials. <i>Journal of Symbolic Computation</i>, <i>30</i>(6), 653–674. <a
    href="https://doi.org/10.1006/jsco.2000.0377">https://doi.org/10.1006/jsco.2000.0377</a>
  bibtex: '@article{Geissler_Klüners_2000, title={Galois Group Computation for Rational
    Polynomials}, volume={30}, DOI={<a href="https://doi.org/10.1006/jsco.2000.0377">10.1006/jsco.2000.0377</a>},
    number={6}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV},
    author={Geissler, Katharina and Klüners, Jürgen}, year={2000}, pages={653–674}
    }'
  chicago: 'Geissler, Katharina, and Jürgen Klüners. “Galois Group Computation for
    Rational Polynomials.” <i>Journal of Symbolic Computation</i> 30, no. 6 (2000):
    653–74. <a href="https://doi.org/10.1006/jsco.2000.0377">https://doi.org/10.1006/jsco.2000.0377</a>.'
  ieee: 'K. Geissler and J. Klüners, “Galois Group Computation for Rational Polynomials,”
    <i>Journal of Symbolic Computation</i>, vol. 30, no. 6, pp. 653–674, 2000, doi:
    <a href="https://doi.org/10.1006/jsco.2000.0377">10.1006/jsco.2000.0377</a>.'
  mla: Geissler, Katharina, and Jürgen Klüners. “Galois Group Computation for Rational
    Polynomials.” <i>Journal of Symbolic Computation</i>, vol. 30, no. 6, Elsevier
    BV, 2000, pp. 653–74, doi:<a href="https://doi.org/10.1006/jsco.2000.0377">10.1006/jsco.2000.0377</a>.
  short: K. Geissler, J. Klüners, Journal of Symbolic Computation 30 (2000) 653–674.
date_created: 2022-12-23T09:58:16Z
date_updated: 2023-03-06T09:58:06Z
department:
- _id: '102'
doi: 10.1006/jsco.2000.0377
intvolume: '        30'
issue: '6'
keyword:
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 653-674
publication: Journal of Symbolic Computation
publication_identifier:
  issn:
  - 0747-7171
publication_status: published
publisher: Elsevier BV
status: public
title: Galois Group Computation for Rational Polynomials
type: journal_article
user_id: '93826'
volume: 30
year: '2000'
...
---
_id: '34901'
abstract:
- lang: eng
  text: Let L = K(α) be an Abelian extension of degree n of a number field K, given
    by the minimal polynomial of α over K. We describe an algorithm for computing
    the local Artin map associated with the extension L / K at a finite or infinite
    prime v of K. We apply this algorithm to decide if a nonzero a ∈ K is a norm from
    L, assuming that L / K is cyclic.
author:
- first_name: Vincenzo
  full_name: Acciaro, Vincenzo
  last_name: Acciaro
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Acciaro V, Klüners J. Computing Local Artin Maps, and Solvability of Norm Equations.
    <i>Journal of Symbolic Computation</i>. 2000;30(3):239-252. doi:<a href="https://doi.org/10.1006/jsco.2000.0361">10.1006/jsco.2000.0361</a>
  apa: Acciaro, V., &#38; Klüners, J. (2000). Computing Local Artin Maps, and Solvability
    of Norm Equations. <i>Journal of Symbolic Computation</i>, <i>30</i>(3), 239–252.
    <a href="https://doi.org/10.1006/jsco.2000.0361">https://doi.org/10.1006/jsco.2000.0361</a>
  bibtex: '@article{Acciaro_Klüners_2000, title={Computing Local Artin Maps, and Solvability
    of Norm Equations}, volume={30}, DOI={<a href="https://doi.org/10.1006/jsco.2000.0361">10.1006/jsco.2000.0361</a>},
    number={3}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV},
    author={Acciaro, Vincenzo and Klüners, Jürgen}, year={2000}, pages={239–252} }'
  chicago: 'Acciaro, Vincenzo, and Jürgen Klüners. “Computing Local Artin Maps, and
    Solvability of Norm Equations.” <i>Journal of Symbolic Computation</i> 30, no.
    3 (2000): 239–52. <a href="https://doi.org/10.1006/jsco.2000.0361">https://doi.org/10.1006/jsco.2000.0361</a>.'
  ieee: 'V. Acciaro and J. Klüners, “Computing Local Artin Maps, and Solvability of
    Norm Equations,” <i>Journal of Symbolic Computation</i>, vol. 30, no. 3, pp. 239–252,
    2000, doi: <a href="https://doi.org/10.1006/jsco.2000.0361">10.1006/jsco.2000.0361</a>.'
  mla: Acciaro, Vincenzo, and Jürgen Klüners. “Computing Local Artin Maps, and Solvability
    of Norm Equations.” <i>Journal of Symbolic Computation</i>, vol. 30, no. 3, Elsevier
    BV, 2000, pp. 239–52, doi:<a href="https://doi.org/10.1006/jsco.2000.0361">10.1006/jsco.2000.0361</a>.
  short: V. Acciaro, J. Klüners, Journal of Symbolic Computation 30 (2000) 239–252.
date_created: 2022-12-23T09:58:48Z
date_updated: 2023-03-06T09:57:34Z
department:
- _id: '102'
doi: 10.1006/jsco.2000.0361
intvolume: '        30'
issue: '3'
keyword:
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 239-252
publication: Journal of Symbolic Computation
publication_identifier:
  issn:
  - 0747-7171
publication_status: published
publisher: Elsevier BV
status: public
title: Computing Local Artin Maps, and Solvability of Norm Equations
type: journal_article
user_id: '93826'
volume: 30
year: '2000'
...
