---
_id: '29492'
author:
- first_name: M.
  full_name: Ringkamp, M.
  last_name: Ringkamp
- first_name: S.
  full_name: Leyendecker, S.
  last_name: Leyendecker
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  id: '16494'
  last_name: Ober-Blöbaum
citation:
  ama: 'Ringkamp M, Leyendecker S, Ober-Blöbaum S. Multiobjective optimal control
    of a four-body kinematic chain. In: <i>Proceedings of Applied Mathematics and
    Mechanics</i>. Vol 13(1). ; 2013:27-28.'
  apa: Ringkamp, M., Leyendecker, S., &#38; Ober-Blöbaum, S. (2013). Multiobjective
    optimal control of a four-body kinematic chain. <i>Proceedings of Applied Mathematics
    and Mechanics</i>, <i>13(1)</i>, 27–28.
  bibtex: '@inproceedings{Ringkamp_Leyendecker_Ober-Blöbaum_2013, title={Multiobjective
    optimal control of a four-body kinematic chain}, volume={13(1)}, booktitle={Proceedings
    of Applied Mathematics and Mechanics}, author={Ringkamp, M. and Leyendecker, S.
    and Ober-Blöbaum, Sina}, year={2013}, pages={27–28} }'
  chicago: Ringkamp, M., S. Leyendecker, and Sina Ober-Blöbaum. “Multiobjective Optimal
    Control of a Four-Body Kinematic Chain.” In <i>Proceedings of Applied Mathematics
    and Mechanics</i>, 13(1):27–28, 2013.
  ieee: M. Ringkamp, S. Leyendecker, and S. Ober-Blöbaum, “Multiobjective optimal
    control of a four-body kinematic chain,” in <i>Proceedings of Applied Mathematics
    and Mechanics</i>, 2013, vol. 13(1), pp. 27–28.
  mla: Ringkamp, M., et al. “Multiobjective Optimal Control of a Four-Body Kinematic
    Chain.” <i>Proceedings of Applied Mathematics and Mechanics</i>, vol. 13(1), 2013,
    pp. 27–28.
  short: 'M. Ringkamp, S. Leyendecker, S. Ober-Blöbaum, in: Proceedings of Applied
    Mathematics and Mechanics, 2013, pp. 27–28.'
date_created: 2022-01-20T09:12:42Z
date_updated: 2022-01-24T08:16:55Z
department:
- _id: '636'
language:
- iso: eng
page: 27-28
publication: Proceedings of Applied Mathematics and Mechanics
status: public
title: Multiobjective optimal control of a four-body kinematic chain
type: conference
user_id: '15694'
volume: 13(1)
year: '2013'
...
---
_id: '29445'
author:
- first_name: 'T. '
  full_name: 'Gail, T. '
  last_name: Gail
- first_name: 'S. '
  full_name: 'Leyendecker, S. '
  last_name: Leyendecker
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  id: '16494'
  last_name: Ober-Blöbaum
citation:
  ama: 'Gail T, Leyendecker S, Ober-Blöbaum S. Computing time investigations of variational
    multirate systems. In: <i>Proceedings of Applied Mathematics and Mechanics</i>.
    Vol 13(1). ; 2013:43-44.'
  apa: Gail, T., Leyendecker, S., &#38; Ober-Blöbaum, S. (2013). Computing time investigations
    of variational multirate systems. <i>Proceedings of Applied Mathematics and Mechanics</i>,
    <i>13(1)</i>, 43–44.
  bibtex: '@inproceedings{Gail_Leyendecker_Ober-Blöbaum_2013, title={Computing time
    investigations of variational multirate systems}, volume={13(1)}, booktitle={Proceedings
    of Applied Mathematics and Mechanics}, author={Gail, T.  and Leyendecker, S.  and
    Ober-Blöbaum, Sina}, year={2013}, pages={43–44} }'
  chicago: Gail, T. , S.  Leyendecker, and Sina Ober-Blöbaum. “Computing Time Investigations
    of Variational Multirate Systems.” In <i>Proceedings of Applied Mathematics and
    Mechanics</i>, 13(1):43–44, 2013.
  ieee: T. Gail, S. Leyendecker, and S. Ober-Blöbaum, “Computing time investigations
    of variational multirate systems,” in <i>Proceedings of Applied Mathematics and
    Mechanics</i>, 2013, vol. 13(1), pp. 43–44.
  mla: Gail, T., et al. “Computing Time Investigations of Variational Multirate Systems.”
    <i>Proceedings of Applied Mathematics and Mechanics</i>, vol. 13(1), 2013, pp.
    43–44.
  short: 'T. Gail, S. Leyendecker, S. Ober-Blöbaum, in: Proceedings of Applied Mathematics
    and Mechanics, 2013, pp. 43–44.'
date_created: 2022-01-19T11:17:13Z
date_updated: 2022-01-24T08:15:38Z
department:
- _id: '636'
language:
- iso: eng
page: 43-44
publication: Proceedings of Applied Mathematics and Mechanics
status: public
title: Computing time investigations of variational multirate systems
type: conference
user_id: '15694'
volume: 13(1)
year: '2013'
...
---
_id: '29490'
author:
- first_name: K.
  full_name: Flaßkamp, K.
  last_name: Flaßkamp
- first_name: T.
  full_name: Murphey, T.
  last_name: Murphey
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  id: '16494'
  last_name: Ober-Blöbaum
citation:
  ama: 'Flaßkamp K, Murphey T, Ober-Blöbaum S. Optimization for discretized switched
    systems. In: <i>Proceedings of Applied Mathematics and Mechanics</i>. Vol 13(1).
    ; 2013:401-402.'
  apa: Flaßkamp, K., Murphey, T., &#38; Ober-Blöbaum, S. (2013). Optimization for
    discretized switched systems. <i>Proceedings of Applied Mathematics and Mechanics</i>,
    <i>13(1)</i>, 401–402.
  bibtex: '@inproceedings{Flaßkamp_Murphey_Ober-Blöbaum_2013, title={Optimization
    for discretized switched systems}, volume={13(1)}, booktitle={Proceedings of Applied
    Mathematics and Mechanics}, author={Flaßkamp, K. and Murphey, T. and Ober-Blöbaum,
    Sina}, year={2013}, pages={401–402} }'
  chicago: Flaßkamp, K., T. Murphey, and Sina Ober-Blöbaum. “Optimization for Discretized
    Switched Systems.” In <i>Proceedings of Applied Mathematics and Mechanics</i>,
    13(1):401–2, 2013.
  ieee: K. Flaßkamp, T. Murphey, and S. Ober-Blöbaum, “Optimization for discretized
    switched systems,” in <i>Proceedings of Applied Mathematics and Mechanics</i>,
    2013, vol. 13(1), pp. 401–402.
  mla: Flaßkamp, K., et al. “Optimization for Discretized Switched Systems.” <i>Proceedings
    of Applied Mathematics and Mechanics</i>, vol. 13(1), 2013, pp. 401–02.
  short: 'K. Flaßkamp, T. Murphey, S. Ober-Blöbaum, in: Proceedings of Applied Mathematics
    and Mechanics, 2013, pp. 401–402.'
date_created: 2022-01-20T09:07:18Z
date_updated: 2022-01-24T08:12:25Z
department:
- _id: '636'
language:
- iso: eng
page: 401-402
publication: Proceedings of Applied Mathematics and Mechanics
status: public
title: Optimization for discretized switched systems
type: conference
user_id: '15694'
volume: 13(1)
year: '2013'
...
---
_id: '51395'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: M.
  full_name: Laubinger, M.
  last_name: Laubinger
- first_name: A.
  full_name: Alldridge, A.
  last_name: Alldridge
citation:
  ama: Hilgert J, Laubinger M, Alldridge A. Harmonic analysis on Heisenberg-Clifford
    Lie supergroups. <i>J London Math Soc</i>. 2013;87:561-585.
  apa: Hilgert, J., Laubinger, M., &#38; Alldridge, A. (2013). Harmonic analysis on
    Heisenberg-Clifford Lie supergroups. <i>J. London Math. Soc.</i>, <i>87</i>, 561–585.
  bibtex: '@article{Hilgert_Laubinger_Alldridge_2013, title={Harmonic analysis on
    Heisenberg-Clifford Lie supergroups}, volume={87}, journal={J. London Math. Soc.},
    author={Hilgert, Joachim and Laubinger, M. and Alldridge, A.}, year={2013}, pages={561–585}
    }'
  chicago: 'Hilgert, Joachim, M. Laubinger, and A. Alldridge. “Harmonic Analysis on
    Heisenberg-Clifford Lie Supergroups.” <i>J. London Math. Soc.</i> 87 (2013): 561–85.'
  ieee: J. Hilgert, M. Laubinger, and A. Alldridge, “Harmonic analysis on Heisenberg-Clifford
    Lie supergroups,” <i>J. London Math. Soc.</i>, vol. 87, pp. 561–585, 2013.
  mla: Hilgert, Joachim, et al. “Harmonic Analysis on Heisenberg-Clifford Lie Supergroups.”
    <i>J. London Math. Soc.</i>, vol. 87, 2013, pp. 561–85.
  short: J. Hilgert, M. Laubinger, A. Alldridge, J. London Math. Soc. 87 (2013) 561–585.
date_created: 2024-02-19T06:53:28Z
date_updated: 2024-02-19T06:54:41Z
department:
- _id: '91'
intvolume: '        87'
language:
- iso: eng
page: 561-585
publication: J. London Math. Soc.
publication_status: published
status: public
title: Harmonic analysis on Heisenberg-Clifford Lie supergroups
type: journal_article
user_id: '49063'
volume: 87
year: '2013'
...
---
_id: '48332'
author:
- first_name: Susanne
  full_name: Prediger, Susanne
  last_name: Prediger
- first_name: Lena
  full_name: Wessel, Lena
  id: '85190'
  last_name: Wessel
citation:
  ama: Prediger S, Wessel L. Fostering German-language learners’ constructions of
    meanings for fractions—design and effects of a language- and mathematics-integrated
    intervention. <i>Mathematics Education Research Journal</i>. 2013;25(3):435-456.
    doi:<a href="https://doi.org/10.1007/s13394-013-0079-2">10.1007/s13394-013-0079-2</a>
  apa: Prediger, S., &#38; Wessel, L. (2013). Fostering German-language learners’
    constructions of meanings for fractions—design and effects of a language- and
    mathematics-integrated intervention. <i>Mathematics Education Research Journal</i>,
    <i>25</i>(3), 435–456. <a href="https://doi.org/10.1007/s13394-013-0079-2">https://doi.org/10.1007/s13394-013-0079-2</a>
  bibtex: '@article{Prediger_Wessel_2013, title={Fostering German-language learners’
    constructions of meanings for fractions—design and effects of a language- and
    mathematics-integrated intervention}, volume={25}, DOI={<a href="https://doi.org/10.1007/s13394-013-0079-2">10.1007/s13394-013-0079-2</a>},
    number={3}, journal={Mathematics Education Research Journal}, publisher={Springer
    Science and Business Media LLC}, author={Prediger, Susanne and Wessel, Lena},
    year={2013}, pages={435–456} }'
  chicago: 'Prediger, Susanne, and Lena Wessel. “Fostering German-Language Learners’
    Constructions of Meanings for Fractions—Design and Effects of a Language- and
    Mathematics-Integrated Intervention.” <i>Mathematics Education Research Journal</i>
    25, no. 3 (2013): 435–56. <a href="https://doi.org/10.1007/s13394-013-0079-2">https://doi.org/10.1007/s13394-013-0079-2</a>.'
  ieee: 'S. Prediger and L. Wessel, “Fostering German-language learners’ constructions
    of meanings for fractions—design and effects of a language- and mathematics-integrated
    intervention,” <i>Mathematics Education Research Journal</i>, vol. 25, no. 3,
    pp. 435–456, 2013, doi: <a href="https://doi.org/10.1007/s13394-013-0079-2">10.1007/s13394-013-0079-2</a>.'
  mla: Prediger, Susanne, and Lena Wessel. “Fostering German-Language Learners’ Constructions
    of Meanings for Fractions—Design and Effects of a Language- and Mathematics-Integrated
    Intervention.” <i>Mathematics Education Research Journal</i>, vol. 25, no. 3,
    Springer Science and Business Media LLC, 2013, pp. 435–56, doi:<a href="https://doi.org/10.1007/s13394-013-0079-2">10.1007/s13394-013-0079-2</a>.
  short: S. Prediger, L. Wessel, Mathematics Education Research Journal 25 (2013)
    435–456.
date_created: 2023-10-19T10:00:32Z
date_updated: 2024-04-18T09:05:03Z
department:
- _id: '643'
doi: 10.1007/s13394-013-0079-2
intvolume: '        25'
issue: '3'
keyword:
- Education
- General Mathematics
language:
- iso: eng
page: 435-456
publication: Mathematics Education Research Journal
publication_identifier:
  issn:
  - 1033-2170
  - 2211-050X
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Fostering German-language learners’ constructions of meanings for fractions—design
  and effects of a language- and mathematics-integrated intervention
type: journal_article
user_id: '37888'
volume: 25
year: '2013'
...
---
_id: '48333'
author:
- first_name: Susanne
  full_name: Prediger, Susanne
  last_name: Prediger
- first_name: Lena
  full_name: Wessel, Lena
  id: '85190'
  last_name: Wessel
- first_name: K
  full_name: Tschierschky, K
  last_name: Tschierschky
- first_name: B
  full_name: Seipp, B
  last_name: Seipp
- first_name: E
  full_name: Özdil, E
  last_name: Özdil
citation:
  ama: 'Prediger S, Wessel L, Tschierschky K, Seipp B, Özdil E. Diagnose und Förderung
    schulpraktisch erproben-am Beispiel Mathematiklernen bei Deutsch als Zweitsprache.
    In: Hußmann S, Selter C, eds. <i>Diagnose und individuelle Förderung in der MINT-Lehrerbildung.
    Das Projekt dortMINT</i>. Waxmann; 2013:171–192.'
  apa: Prediger, S., Wessel, L., Tschierschky, K., Seipp, B., &#38; Özdil, E. (2013).
    Diagnose und Förderung schulpraktisch erproben-am Beispiel Mathematiklernen bei
    Deutsch als Zweitsprache. In S. Hußmann &#38; C. Selter (Eds.), <i>Diagnose und
    individuelle Förderung in der MINT-Lehrerbildung. Das Projekt dortMINT</i> (pp.
    171–192). Waxmann.
  bibtex: '@inbook{Prediger_Wessel_Tschierschky_Seipp_Özdil_2013, place={Münster},
    title={Diagnose und Förderung schulpraktisch erproben-am Beispiel Mathematiklernen
    bei Deutsch als Zweitsprache}, booktitle={Diagnose und individuelle Förderung
    in der MINT-Lehrerbildung. Das Projekt dortMINT}, publisher={Waxmann}, author={Prediger,
    Susanne and Wessel, Lena and Tschierschky, K and Seipp, B and Özdil, E}, editor={Hußmann,
    S. and Selter, C.}, year={2013}, pages={171–192} }'
  chicago: 'Prediger, Susanne, Lena Wessel, K Tschierschky, B Seipp, and E Özdil.
    “Diagnose und Förderung schulpraktisch erproben-am Beispiel Mathematiklernen bei
    Deutsch als Zweitsprache.” In <i>Diagnose und individuelle Förderung in der MINT-Lehrerbildung.
    Das Projekt dortMINT</i>, edited by S. Hußmann and C. Selter, 171–192. Münster:
    Waxmann, 2013.'
  ieee: 'S. Prediger, L. Wessel, K. Tschierschky, B. Seipp, and E. Özdil, “Diagnose
    und Förderung schulpraktisch erproben-am Beispiel Mathematiklernen bei Deutsch
    als Zweitsprache,” in <i>Diagnose und individuelle Förderung in der MINT-Lehrerbildung.
    Das Projekt dortMINT</i>, S. Hußmann and C. Selter, Eds. Münster: Waxmann, 2013,
    pp. 171–192.'
  mla: Prediger, Susanne, et al. “Diagnose und Förderung schulpraktisch erproben-am
    Beispiel Mathematiklernen bei Deutsch als Zweitsprache.” <i>Diagnose und individuelle
    Förderung in der MINT-Lehrerbildung. Das Projekt dortMINT</i>, edited by S. Hußmann
    and C. Selter, Waxmann, 2013, pp. 171–192.
  short: 'S. Prediger, L. Wessel, K. Tschierschky, B. Seipp, E. Özdil, in: S. Hußmann,
    C. Selter (Eds.), Diagnose und individuelle Förderung in der MINT-Lehrerbildung.
    Das Projekt dortMINT, Waxmann, Münster, 2013, pp. 171–192.'
date_created: 2023-10-19T10:02:45Z
date_updated: 2024-04-18T09:07:27Z
department:
- _id: '643'
editor:
- first_name: S.
  full_name: Hußmann, S.
  last_name: Hußmann
- first_name: C.
  full_name: Selter, C.
  last_name: Selter
language:
- iso: ger
page: 171–192
place: Münster
publication: Diagnose und individuelle Förderung in der MINT-Lehrerbildung. Das Projekt
  dortMINT
publisher: Waxmann
status: public
title: Diagnose und Förderung schulpraktisch erproben-am Beispiel Mathematiklernen
  bei Deutsch als Zweitsprache
type: book_chapter
user_id: '37888'
year: '2013'
...
---
_id: '48329'
author:
- first_name: Susanne
  full_name: Prediger, Susanne
  last_name: Prediger
- first_name: N.
  full_name: Krägeloh, N.
  last_name: Krägeloh
- first_name: Lena
  full_name: Wessel, Lena
  id: '85190'
  last_name: Wessel
citation:
  ama: Prediger S, Krägeloh N, Wessel L. Wieso 3/4 von 12, und wo ist der Kreis? Brüche
    für Teile von Mengen handlungs- und strukturorientiert erarbeiten. . <i>Praxis
    der Mathematik in der Schule</i>. 2013;55(52):9-14.
  apa: Prediger, S., Krägeloh, N., &#38; Wessel, L. (2013). Wieso 3/4 von 12, und
    wo ist der Kreis? Brüche für Teile von Mengen handlungs- und strukturorientiert
    erarbeiten. . <i>Praxis der Mathematik in der Schule</i>, <i>55</i>(52), 9–14.
  bibtex: '@article{Prediger_Krägeloh_Wessel_2013, title={Wieso 3/4 von 12, und wo
    ist der Kreis? Brüche für Teile von Mengen handlungs- und strukturorientiert erarbeiten.
    }, volume={55}, number={52}, journal={Praxis der Mathematik in der Schule}, author={Prediger,
    Susanne and Krägeloh, N. and Wessel, Lena}, year={2013}, pages={9–14} }'
  chicago: 'Prediger, Susanne, N. Krägeloh, and Lena Wessel. “Wieso 3/4 von 12, und
    wo ist der Kreis? Brüche für Teile von Mengen handlungs- und strukturorientiert
    erarbeiten. .” <i>Praxis der Mathematik in der Schule</i> 55, no. 52 (2013): 9–14.'
  ieee: S. Prediger, N. Krägeloh, and L. Wessel, “Wieso 3/4 von 12, und wo ist der
    Kreis? Brüche für Teile von Mengen handlungs- und strukturorientiert erarbeiten.
    ,” <i>Praxis der Mathematik in der Schule</i>, vol. 55, no. 52, pp. 9–14, 2013.
  mla: Prediger, Susanne, et al. “Wieso 3/4 von 12, und wo ist der Kreis? Brüche für
    Teile von Mengen handlungs- und strukturorientiert erarbeiten. .” <i>Praxis der
    Mathematik in der Schule</i>, vol. 55, no. 52, 2013, pp. 9–14.
  short: S. Prediger, N. Krägeloh, L. Wessel, Praxis der Mathematik in der Schule
    55 (2013) 9–14.
date_created: 2023-10-19T09:53:39Z
date_updated: 2024-04-18T09:08:20Z
department:
- _id: '643'
intvolume: '        55'
issue: '52'
language:
- iso: ger
page: 9-14
publication: Praxis der Mathematik in der Schule
status: public
title: 'Wieso 3/4 von 12, und wo ist der Kreis? Brüche für Teile von Mengen handlungs-
  und strukturorientiert erarbeiten. '
type: journal_article
user_id: '37888'
volume: 55
year: '2013'
...
---
_id: '48395'
author:
- first_name: Lena
  full_name: Wessel, Lena
  id: '85190'
  last_name: Wessel
citation:
  ama: 'Wessel L. Sprache und Vorstellungen parallel entwickeln – Wirkungen einer
    fach- und sprachintegrierten Förderung für sprachlich schwache Lernende. In: Greefrath
    G, Käpnick F, Stein M, eds. <i>Beiträge zum Mathematikunterricht 2013</i>. WTM-Verlag;
    2013:1082-1085.'
  apa: Wessel, L. (2013). Sprache und Vorstellungen parallel entwickeln – Wirkungen
    einer fach- und sprachintegrierten Förderung für sprachlich schwache Lernende.
    In G. Greefrath, F. Käpnick, &#38; M. Stein (Eds.), <i>Beiträge zum Mathematikunterricht
    2013</i> (pp. 1082–1085). WTM-Verlag.
  bibtex: '@inbook{Wessel_2013, place={Münster}, title={Sprache und Vorstellungen
    parallel entwickeln – Wirkungen einer fach- und sprachintegrierten Förderung für
    sprachlich schwache Lernende}, booktitle={Beiträge zum Mathematikunterricht 2013},
    publisher={WTM-Verlag}, author={Wessel, Lena}, editor={Greefrath, G. and Käpnick,
    F. and Stein, M.}, year={2013}, pages={1082–1085} }'
  chicago: 'Wessel, Lena. “Sprache und Vorstellungen parallel entwickeln – Wirkungen
    einer fach- und sprachintegrierten Förderung für sprachlich schwache Lernende.”
    In <i>Beiträge zum Mathematikunterricht 2013</i>, edited by G. Greefrath, F. Käpnick,
    and M. Stein, 1082–85. Münster: WTM-Verlag, 2013.'
  ieee: 'L. Wessel, “Sprache und Vorstellungen parallel entwickeln – Wirkungen einer
    fach- und sprachintegrierten Förderung für sprachlich schwache Lernende,” in <i>Beiträge
    zum Mathematikunterricht 2013</i>, G. Greefrath, F. Käpnick, and M. Stein, Eds.
    Münster: WTM-Verlag, 2013, pp. 1082–1085.'
  mla: Wessel, Lena. “Sprache und Vorstellungen parallel entwickeln – Wirkungen einer
    fach- und sprachintegrierten Förderung für sprachlich schwache Lernende.” <i>Beiträge
    zum Mathematikunterricht 2013</i>, edited by G. Greefrath et al., WTM-Verlag,
    2013, pp. 1082–85.
  short: 'L. Wessel, in: G. Greefrath, F. Käpnick, M. Stein (Eds.), Beiträge zum Mathematikunterricht
    2013, WTM-Verlag, Münster, 2013, pp. 1082–1085.'
date_created: 2023-10-24T06:34:07Z
date_updated: 2024-04-18T09:17:02Z
department:
- _id: '643'
editor:
- first_name: G.
  full_name: Greefrath, G.
  last_name: Greefrath
- first_name: F.
  full_name: Käpnick, F.
  last_name: Käpnick
- first_name: M.
  full_name: Stein, M.
  last_name: Stein
language:
- iso: ger
main_file_link:
- url: https://eldorado.tu-dortmund.de/bitstream/2003/33663/3/BzMU2013_BAND1.pdf#page=337
page: 1082-1085
place: Münster
publication: Beiträge zum Mathematikunterricht 2013
publisher: WTM-Verlag
status: public
title: Sprache und Vorstellungen parallel entwickeln – Wirkungen einer fach- und sprachintegrierten
  Förderung für sprachlich schwache Lernende
type: book_chapter
user_id: '37888'
year: '2013'
...
---
_id: '51490'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: Hilgert J. <i>Arbeitsbuch Mathematik für das erste Studienjahr</i>. Springer
    Spektrum; 2013.
  apa: Hilgert, J. (2013). <i>Arbeitsbuch Mathematik für das erste Studienjahr</i>.
    Springer Spektrum.
  bibtex: '@book{Hilgert_2013, title={Arbeitsbuch Mathematik für das erste Studienjahr},
    publisher={Springer Spektrum}, author={Hilgert, Joachim}, year={2013} }'
  chicago: Hilgert, Joachim. <i>Arbeitsbuch Mathematik für das erste Studienjahr</i>.
    Springer Spektrum, 2013.
  ieee: J. Hilgert, <i>Arbeitsbuch Mathematik für das erste Studienjahr</i>. Springer
    Spektrum, 2013.
  mla: Hilgert, Joachim. <i>Arbeitsbuch Mathematik für das erste Studienjahr</i>.
    Springer Spektrum, 2013.
  short: J. Hilgert, Arbeitsbuch Mathematik für das erste Studienjahr, Springer Spektrum,
    2013.
date_created: 2024-02-19T10:17:34Z
date_updated: 2024-08-08T07:38:30Z
department:
- _id: '91'
language:
- iso: ger
main_file_link:
- url: https://link.springer.com/book/10.1007/978-3-642-37550-7
publication_status: published
publisher: Springer Spektrum
status: public
title: Arbeitsbuch Mathematik für das erste Studienjahr
type: book
user_id: '220'
year: '2013'
...
---
_id: '51491'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: Hilgert J. <i>Lesebuch Mathematik für das erste Studienjahr</i>. Springer Spektrum;
    2013.
  apa: Hilgert, J. (2013). <i>Lesebuch Mathematik für das erste Studienjahr</i>. Springer
    Spektrum.
  bibtex: '@book{Hilgert_2013, title={Lesebuch Mathematik für das erste Studienjahr},
    publisher={Springer Spektrum}, author={Hilgert, Joachim}, year={2013} }'
  chicago: Hilgert, Joachim. <i>Lesebuch Mathematik für das erste Studienjahr</i>.
    Springer Spektrum, 2013.
  ieee: J. Hilgert, <i>Lesebuch Mathematik für das erste Studienjahr</i>. Springer
    Spektrum, 2013.
  mla: Hilgert, Joachim. <i>Lesebuch Mathematik für das erste Studienjahr</i>. Springer
    Spektrum, 2013.
  short: J. Hilgert, Lesebuch Mathematik für das erste Studienjahr, Springer Spektrum,
    2013.
date_created: 2024-02-19T10:18:22Z
date_updated: 2024-08-08T07:50:43Z
department:
- _id: '91'
language:
- iso: ger
main_file_link:
- url: https://link.springer.com/book/10.1007/978-3-642-34755-9
publication_status: published
publisher: Springer Spektrum
status: public
title: Lesebuch Mathematik für das erste Studienjahr
type: book
user_id: '220'
year: '2013'
...
---
_id: '31298'
article_number: '164102'
author:
- first_name: Sonja
  full_name: Barkhofen, Sonja
  id: '48188'
  last_name: Barkhofen
- first_name: Tobias
  full_name: Weich, Tobias
  id: '49178'
  last_name: Weich
  orcid: 0000-0002-9648-6919
- first_name: A.
  full_name: Potzuweit, A.
  last_name: Potzuweit
- first_name: H.-J.
  full_name: Stöckmann, H.-J.
  last_name: Stöckmann
- first_name: U.
  full_name: Kuhl, U.
  last_name: Kuhl
- first_name: M.
  full_name: Zworski, M.
  last_name: Zworski
citation:
  ama: Barkhofen S, Weich T, Potzuweit A, Stöckmann H-J, Kuhl U, Zworski M. Experimental
    Observation of the Spectral Gap in Microwave n-Disk Systems. <i>Physical Review
    Letters</i>. 2013;110(16). doi:<a href="https://doi.org/10.1103/physrevlett.110.164102">10.1103/physrevlett.110.164102</a>
  apa: Barkhofen, S., Weich, T., Potzuweit, A., Stöckmann, H.-J., Kuhl, U., &#38;
    Zworski, M. (2013). Experimental Observation of the Spectral Gap in Microwave
    n-Disk Systems. <i>Physical Review Letters</i>, <i>110</i>(16), Article 164102.
    <a href="https://doi.org/10.1103/physrevlett.110.164102">https://doi.org/10.1103/physrevlett.110.164102</a>
  bibtex: '@article{Barkhofen_Weich_Potzuweit_Stöckmann_Kuhl_Zworski_2013, title={Experimental
    Observation of the Spectral Gap in Microwave n-Disk Systems}, volume={110}, DOI={<a
    href="https://doi.org/10.1103/physrevlett.110.164102">10.1103/physrevlett.110.164102</a>},
    number={16164102}, journal={Physical Review Letters}, publisher={American Physical
    Society (APS)}, author={Barkhofen, Sonja and Weich, Tobias and Potzuweit, A. and
    Stöckmann, H.-J. and Kuhl, U. and Zworski, M.}, year={2013} }'
  chicago: Barkhofen, Sonja, Tobias Weich, A. Potzuweit, H.-J. Stöckmann, U. Kuhl,
    and M. Zworski. “Experimental Observation of the Spectral Gap in Microwave N-Disk
    Systems.” <i>Physical Review Letters</i> 110, no. 16 (2013). <a href="https://doi.org/10.1103/physrevlett.110.164102">https://doi.org/10.1103/physrevlett.110.164102</a>.
  ieee: 'S. Barkhofen, T. Weich, A. Potzuweit, H.-J. Stöckmann, U. Kuhl, and M. Zworski,
    “Experimental Observation of the Spectral Gap in Microwave n-Disk Systems,” <i>Physical
    Review Letters</i>, vol. 110, no. 16, Art. no. 164102, 2013, doi: <a href="https://doi.org/10.1103/physrevlett.110.164102">10.1103/physrevlett.110.164102</a>.'
  mla: Barkhofen, Sonja, et al. “Experimental Observation of the Spectral Gap in Microwave
    N-Disk Systems.” <i>Physical Review Letters</i>, vol. 110, no. 16, 164102, American
    Physical Society (APS), 2013, doi:<a href="https://doi.org/10.1103/physrevlett.110.164102">10.1103/physrevlett.110.164102</a>.
  short: S. Barkhofen, T. Weich, A. Potzuweit, H.-J. Stöckmann, U. Kuhl, M. Zworski,
    Physical Review Letters 110 (2013).
date_created: 2022-05-17T13:00:47Z
date_updated: 2023-01-19T08:49:01Z
department:
- _id: '10'
- _id: '548'
- _id: '288'
doi: 10.1103/physrevlett.110.164102
external_id:
  arxiv:
  - '1212.5897 '
intvolume: '       110'
issue: '16'
keyword:
- General Physics and Astronomy
language:
- iso: eng
publication: Physical Review Letters
publication_identifier:
  issn:
  - 0031-9007
  - 1079-7114
publication_status: published
publisher: American Physical Society (APS)
status: public
title: Experimental Observation of the Spectral Gap in Microwave n-Disk Systems
type: journal_article
user_id: '48188'
volume: 110
year: '2013'
...
---
_id: '37672'
abstract:
- lang: eng
  text: <jats:title>Abstract</jats:title><jats:p>Let <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple"
    xlink:href="S0010437X13007045_inline1" /><jats:tex-math>${F}_{BC} (\lambda , k;
    t)$</jats:tex-math></jats:alternatives></jats:inline-formula> be the Heckman–Opdam
    hypergeometric function of type BC with multiplicities <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple"
    xlink:href="S0010437X13007045_inline2" /><jats:tex-math>$k= ({k}_{1} , {k}_{2}
    , {k}_{3} )$</jats:tex-math></jats:alternatives></jats:inline-formula> and weighted
    half-sum <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink"
    mime-subtype="gif" xlink:type="simple" xlink:href="S0010437X13007045_inline3"
    /><jats:tex-math>$\rho (k)$</jats:tex-math></jats:alternatives></jats:inline-formula>
    of positive roots. We prove that <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple"
    xlink:href="S0010437X13007045_inline4" /><jats:tex-math>${F}_{BC} (\lambda + \rho
    (k), k; t)$</jats:tex-math></jats:alternatives></jats:inline-formula> converges
    as <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink"
    mime-subtype="gif" xlink:type="simple" xlink:href="S0010437X13007045_inline5"
    /><jats:tex-math>${k}_{1} + {k}_{2} \rightarrow \infty $</jats:tex-math></jats:alternatives></jats:inline-formula>
    and <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink"
    mime-subtype="gif" xlink:type="simple" xlink:href="S0010437X13007045_inline6"
    /><jats:tex-math>${k}_{1} / {k}_{2} \rightarrow \infty $</jats:tex-math></jats:alternatives></jats:inline-formula>
    to a function of type A for <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple"
    xlink:href="S0010437X13007045_inline7" /><jats:tex-math>$t\in { \mathbb{R} }^{n}
    $</jats:tex-math></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple"
    xlink:href="S0010437X13007045_inline8" /><jats:tex-math>$\lambda \in { \mathbb{C}
    }^{n} $</jats:tex-math></jats:alternatives></jats:inline-formula>. This limit
    is obtained from a corresponding result for Jacobi polynomials of type BC, which
    is proven for a slightly more general limit behavior of the multiplicities, using
    an explicit representation of Jacobi polynomials in terms of Jack polynomials.
    Our limits include limit transitions for the spherical functions of non-compact
    Grassmann manifolds over one of the fields <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple"
    xlink:href="S0010437X13007045_inline9" /><jats:tex-math>$ \mathbb{F} = \mathbb{R}
    , \mathbb{C} , \mathbb{H} $</jats:tex-math></jats:alternatives></jats:inline-formula>
    when the rank is fixed and the dimension tends to infinity. The limit functions
    turn out to be exactly the spherical functions of the corresponding infinite-dimensional
    Grassmann manifold in the sense of Olshanski.</jats:p>
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
- first_name: Tom
  full_name: Koornwinder, Tom
  last_name: Koornwinder
- first_name: Michael
  full_name: Voit, Michael
  last_name: Voit
citation:
  ama: Rösler M, Koornwinder T, Voit M. Limit transition between hypergeometric functions
    of type BC and type A. <i>Compositio Mathematica</i>. 2013;149(8):1381-1400. doi:<a
    href="https://doi.org/10.1112/s0010437x13007045">10.1112/s0010437x13007045</a>
  apa: Rösler, M., Koornwinder, T., &#38; Voit, M. (2013). Limit transition between
    hypergeometric functions of type BC and type A. <i>Compositio Mathematica</i>,
    <i>149</i>(8), 1381–1400. <a href="https://doi.org/10.1112/s0010437x13007045">https://doi.org/10.1112/s0010437x13007045</a>
  bibtex: '@article{Rösler_Koornwinder_Voit_2013, title={Limit transition between
    hypergeometric functions of type BC and type A}, volume={149}, DOI={<a href="https://doi.org/10.1112/s0010437x13007045">10.1112/s0010437x13007045</a>},
    number={8}, journal={Compositio Mathematica}, publisher={Wiley}, author={Rösler,
    Margit and Koornwinder, Tom and Voit, Michael}, year={2013}, pages={1381–1400}
    }'
  chicago: 'Rösler, Margit, Tom Koornwinder, and Michael Voit. “Limit Transition between
    Hypergeometric Functions of Type BC and Type A.” <i>Compositio Mathematica</i>
    149, no. 8 (2013): 1381–1400. <a href="https://doi.org/10.1112/s0010437x13007045">https://doi.org/10.1112/s0010437x13007045</a>.'
  ieee: 'M. Rösler, T. Koornwinder, and M. Voit, “Limit transition between hypergeometric
    functions of type BC and type A,” <i>Compositio Mathematica</i>, vol. 149, no.
    8, pp. 1381–1400, 2013, doi: <a href="https://doi.org/10.1112/s0010437x13007045">10.1112/s0010437x13007045</a>.'
  mla: Rösler, Margit, et al. “Limit Transition between Hypergeometric Functions of
    Type BC and Type A.” <i>Compositio Mathematica</i>, vol. 149, no. 8, Wiley, 2013,
    pp. 1381–400, doi:<a href="https://doi.org/10.1112/s0010437x13007045">10.1112/s0010437x13007045</a>.
  short: M. Rösler, T. Koornwinder, M. Voit, Compositio Mathematica 149 (2013) 1381–1400.
date_created: 2023-01-20T09:37:16Z
date_updated: 2023-01-24T22:15:13Z
department:
- _id: '555'
doi: 10.1112/s0010437x13007045
intvolume: '       149'
issue: '8'
keyword:
- Algebra and Number Theory
language:
- iso: eng
page: 1381-1400
publication: Compositio Mathematica
publication_identifier:
  issn:
  - 0010-437X
  - 1570-5846
publication_status: published
publisher: Wiley
status: public
title: Limit transition between hypergeometric functions of type BC and type A
type: journal_article
user_id: '93826'
volume: 149
year: '2013'
...
---
_id: '38038'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
- first_name: Michael
  full_name: Voit, Michael
  last_name: Voit
citation:
  ama: Rösler M, Voit M. Olshanski spherical functions for infinite dimensional motion
    groups of fixed rank. <i>Journal of Lie Theory 23</i>. 2013;(4):899--920. doi:<a
    href="https://doi.org/10.48550/ARXIV.1210.1351">10.48550/ARXIV.1210.1351</a>
  apa: Rösler, M., &#38; Voit, M. (2013). Olshanski spherical functions for infinite
    dimensional motion groups of fixed rank. <i>Journal of Lie Theory 23</i>, <i>4</i>,
    899--920. <a href="https://doi.org/10.48550/ARXIV.1210.1351">https://doi.org/10.48550/ARXIV.1210.1351</a>
  bibtex: '@article{Rösler_Voit_2013, title={Olshanski spherical functions for infinite
    dimensional motion groups of fixed rank}, DOI={<a href="https://doi.org/10.48550/ARXIV.1210.1351">10.48550/ARXIV.1210.1351</a>},
    number={4}, journal={Journal of Lie Theory 23}, publisher={Heldermann }, author={Rösler,
    Margit and Voit, Michael}, year={2013}, pages={899--920} }'
  chicago: 'Rösler, Margit, and Michael Voit. “Olshanski Spherical Functions for Infinite
    Dimensional Motion Groups of Fixed Rank.” <i>Journal of Lie Theory 23</i>, no.
    4 (2013): 899--920. <a href="https://doi.org/10.48550/ARXIV.1210.1351">https://doi.org/10.48550/ARXIV.1210.1351</a>.'
  ieee: 'M. Rösler and M. Voit, “Olshanski spherical functions for infinite dimensional
    motion groups of fixed rank,” <i>Journal of Lie Theory 23</i>, no. 4, pp. 899--920,
    2013, doi: <a href="https://doi.org/10.48550/ARXIV.1210.1351">10.48550/ARXIV.1210.1351</a>.'
  mla: Rösler, Margit, and Michael Voit. “Olshanski Spherical Functions for Infinite
    Dimensional Motion Groups of Fixed Rank.” <i>Journal of Lie Theory 23</i>, no.
    4, Heldermann , 2013, pp. 899--920, doi:<a href="https://doi.org/10.48550/ARXIV.1210.1351">10.48550/ARXIV.1210.1351</a>.
  short: M. Rösler, M. Voit, Journal of Lie Theory 23 (2013) 899--920.
date_created: 2023-01-23T08:26:17Z
date_updated: 2023-01-24T22:15:26Z
department:
- _id: '555'
doi: 10.48550/ARXIV.1210.1351
issue: '4'
language:
- iso: eng
page: 899--920
publication: Journal of Lie Theory 23
publication_status: published
publisher: 'Heldermann '
status: public
title: Olshanski spherical functions for infinite dimensional motion groups of fixed
  rank
type: journal_article
user_id: '93826'
year: '2013'
...
---
_id: '40072'
author:
- first_name: Tomasz
  full_name: Luks, Tomasz
  id: '58312'
  last_name: Luks
citation:
  ama: Luks T. Boundary Behavior of α-Harmonic Functions on the Complement of the
    Sphere and Hyperplane. <i>Potential Analysis</i>. 2013;39(1):29-67. doi:<a href="https://doi.org/10.1007/s11118-012-9321-x">10.1007/s11118-012-9321-x</a>
  apa: Luks, T. (2013). Boundary Behavior of α-Harmonic Functions on the Complement
    of the Sphere and Hyperplane. <i>Potential Analysis</i>, <i>39</i>(1), 29–67.
    <a href="https://doi.org/10.1007/s11118-012-9321-x">https://doi.org/10.1007/s11118-012-9321-x</a>
  bibtex: '@article{Luks_2013, title={Boundary Behavior of α-Harmonic Functions on
    the Complement of the Sphere and Hyperplane}, volume={39}, DOI={<a href="https://doi.org/10.1007/s11118-012-9321-x">10.1007/s11118-012-9321-x</a>},
    number={1}, journal={Potential Analysis}, publisher={Springer Science and Business
    Media LLC}, author={Luks, Tomasz}, year={2013}, pages={29–67} }'
  chicago: 'Luks, Tomasz. “Boundary Behavior of α-Harmonic Functions on the Complement
    of the Sphere and Hyperplane.” <i>Potential Analysis</i> 39, no. 1 (2013): 29–67.
    <a href="https://doi.org/10.1007/s11118-012-9321-x">https://doi.org/10.1007/s11118-012-9321-x</a>.'
  ieee: 'T. Luks, “Boundary Behavior of α-Harmonic Functions on the Complement of
    the Sphere and Hyperplane,” <i>Potential Analysis</i>, vol. 39, no. 1, pp. 29–67,
    2013, doi: <a href="https://doi.org/10.1007/s11118-012-9321-x">10.1007/s11118-012-9321-x</a>.'
  mla: Luks, Tomasz. “Boundary Behavior of α-Harmonic Functions on the Complement
    of the Sphere and Hyperplane.” <i>Potential Analysis</i>, vol. 39, no. 1, Springer
    Science and Business Media LLC, 2013, pp. 29–67, doi:<a href="https://doi.org/10.1007/s11118-012-9321-x">10.1007/s11118-012-9321-x</a>.
  short: T. Luks, Potential Analysis 39 (2013) 29–67.
date_created: 2023-01-25T15:50:45Z
date_updated: 2023-01-26T17:29:16Z
department:
- _id: '555'
doi: 10.1007/s11118-012-9321-x
extern: '1'
intvolume: '        39'
issue: '1'
language:
- iso: eng
page: 29-67
publication: Potential Analysis
publication_identifier:
  issn:
  - 0926-2601
  - 1572-929X
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Boundary Behavior of α-Harmonic Functions on the Complement of the Sphere and
  Hyperplane
type: journal_article
user_id: '58312'
volume: 39
year: '2013'
...
---
_id: '40070'
author:
- first_name: Piotr
  full_name: Graczyk, Piotr
  last_name: Graczyk
- first_name: Tomasz
  full_name: Jakubowski, Tomasz
  last_name: Jakubowski
- first_name: Tomasz
  full_name: Luks, Tomasz
  id: '58312'
  last_name: Luks
citation:
  ama: Graczyk P, Jakubowski T, Luks T. Martin representation and Relative Fatou Theorem
    for fractional Laplacian with a gradient perturbation. <i>Positivity</i>. 2013;17(4):1043-1070.
    doi:<a href="https://doi.org/10.1007/s11117-012-0220-6">10.1007/s11117-012-0220-6</a>
  apa: Graczyk, P., Jakubowski, T., &#38; Luks, T. (2013). Martin representation and
    Relative Fatou Theorem for fractional Laplacian with a gradient perturbation.
    <i>Positivity</i>, <i>17</i>(4), 1043–1070. <a href="https://doi.org/10.1007/s11117-012-0220-6">https://doi.org/10.1007/s11117-012-0220-6</a>
  bibtex: '@article{Graczyk_Jakubowski_Luks_2013, title={Martin representation and
    Relative Fatou Theorem for fractional Laplacian with a gradient perturbation},
    volume={17}, DOI={<a href="https://doi.org/10.1007/s11117-012-0220-6">10.1007/s11117-012-0220-6</a>},
    number={4}, journal={Positivity}, publisher={Springer Science and Business Media
    LLC}, author={Graczyk, Piotr and Jakubowski, Tomasz and Luks, Tomasz}, year={2013},
    pages={1043–1070} }'
  chicago: 'Graczyk, Piotr, Tomasz Jakubowski, and Tomasz Luks. “Martin Representation
    and Relative Fatou Theorem for Fractional Laplacian with a Gradient Perturbation.”
    <i>Positivity</i> 17, no. 4 (2013): 1043–70. <a href="https://doi.org/10.1007/s11117-012-0220-6">https://doi.org/10.1007/s11117-012-0220-6</a>.'
  ieee: 'P. Graczyk, T. Jakubowski, and T. Luks, “Martin representation and Relative
    Fatou Theorem for fractional Laplacian with a gradient perturbation,” <i>Positivity</i>,
    vol. 17, no. 4, pp. 1043–1070, 2013, doi: <a href="https://doi.org/10.1007/s11117-012-0220-6">10.1007/s11117-012-0220-6</a>.'
  mla: Graczyk, Piotr, et al. “Martin Representation and Relative Fatou Theorem for
    Fractional Laplacian with a Gradient Perturbation.” <i>Positivity</i>, vol. 17,
    no. 4, Springer Science and Business Media LLC, 2013, pp. 1043–70, doi:<a href="https://doi.org/10.1007/s11117-012-0220-6">10.1007/s11117-012-0220-6</a>.
  short: P. Graczyk, T. Jakubowski, T. Luks, Positivity 17 (2013) 1043–1070.
date_created: 2023-01-25T15:49:25Z
date_updated: 2023-01-26T17:21:01Z
department:
- _id: '555'
doi: 10.1007/s11117-012-0220-6
extern: '1'
intvolume: '        17'
issue: '4'
language:
- iso: eng
page: 1043-1070
publication: Positivity
publication_identifier:
  issn:
  - 1385-1292
  - 1572-9281
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Martin representation and Relative Fatou Theorem for fractional Laplacian with
  a gradient perturbation
type: journal_article
user_id: '58312'
volume: 17
year: '2013'
...
---
_id: '42805'
abstract:
- lang: eng
  text: Following an idea of B. H. Gross, who presented an elliptic curve test for
    Mersenneprimes Mₚ=2ᵖ−1, we propose a similar test with elliptic curves for generalizedThabit
    primesK(h, n) := h·2ⁿ−1 for any positive odd number h and any integer n> log₂(h)+2.
author:
- first_name: Markus
  full_name: Kirschmer, Markus
  id: '82258'
  last_name: Kirschmer
- first_name: Michael H.
  full_name: Mertens, Michael H.
  last_name: Mertens
citation:
  ama: 'Kirschmer M, Mertens MH. On an analogue to the Lucas-Lehmer-Riesel test using
    elliptic curves. In: <i>Integers</i>. DE GRUYTER; 2013. doi:<a href="https://doi.org/10.1515/9783110298161.212">10.1515/9783110298161.212</a>'
  apa: Kirschmer, M., &#38; Mertens, M. H. (2013). On an analogue to the Lucas-Lehmer-Riesel
    test using elliptic curves. In <i>Integers</i>. DE GRUYTER. <a href="https://doi.org/10.1515/9783110298161.212">https://doi.org/10.1515/9783110298161.212</a>
  bibtex: '@inbook{Kirschmer_Mertens_2013, title={On an analogue to the Lucas-Lehmer-Riesel
    test using elliptic curves}, DOI={<a href="https://doi.org/10.1515/9783110298161.212">10.1515/9783110298161.212</a>},
    booktitle={Integers}, publisher={DE GRUYTER}, author={Kirschmer, Markus and Mertens,
    Michael H.}, year={2013} }'
  chicago: Kirschmer, Markus, and Michael H. Mertens. “On an Analogue to the Lucas-Lehmer-Riesel
    Test Using Elliptic Curves.” In <i>Integers</i>. DE GRUYTER, 2013. <a href="https://doi.org/10.1515/9783110298161.212">https://doi.org/10.1515/9783110298161.212</a>.
  ieee: M. Kirschmer and M. H. Mertens, “On an analogue to the Lucas-Lehmer-Riesel
    test using elliptic curves,” in <i>Integers</i>, DE GRUYTER, 2013.
  mla: Kirschmer, Markus, and Michael H. Mertens. “On an Analogue to the Lucas-Lehmer-Riesel
    Test Using Elliptic Curves.” <i>Integers</i>, DE GRUYTER, 2013, doi:<a href="https://doi.org/10.1515/9783110298161.212">10.1515/9783110298161.212</a>.
  short: 'M. Kirschmer, M.H. Mertens, in: Integers, DE GRUYTER, 2013.'
date_created: 2023-03-07T08:51:46Z
date_updated: 2023-04-04T09:17:32Z
department:
- _id: '102'
doi: 10.1515/9783110298161.212
extern: '1'
language:
- iso: eng
publication: Integers
publication_identifier:
  isbn:
  - '9783110298116'
publication_status: published
publisher: DE GRUYTER
status: public
title: On an analogue to the Lucas-Lehmer-Riesel test using elliptic curves
type: book_chapter
user_id: '93826'
year: '2013'
...
---
_id: '42796'
abstract:
- lang: eng
  text: "We give an enumeration of all positive definite primitive Z-lattices in dimension
    n ≥ 3 whose genus consists of a single isometry class. This is achieved by using
    bounds obtained from the Smith–Minkowski–Siegel mass formula to computationally
    construct the square-free determinant lattices with this property, and then repeatedly
    calculating pre-images under a mapping first introduced by G. L. Watson.\r\n\r\nWe
    hereby complete the classification of single-class genera in dimensions 4 and
    5 and correct some mistakes in Watson’s classifications in other dimensions. A
    list of all single-class primitive Z-lattices has been compiled and incorporated
    into the Catalogue of Lattices."
author:
- first_name: David
  full_name: Lorch, David
  last_name: Lorch
- first_name: Markus
  full_name: Kirschmer, Markus
  id: '82258'
  last_name: Kirschmer
citation:
  ama: Lorch D, Kirschmer M. Single-class genera of positive integral lattices. <i>LMS
    Journal of Computation and Mathematics</i>. 2013;16:172-186. doi:<a href="https://doi.org/10.1112/s1461157013000107">10.1112/s1461157013000107</a>
  apa: Lorch, D., &#38; Kirschmer, M. (2013). Single-class genera of positive integral
    lattices. <i>LMS Journal of Computation and Mathematics</i>, <i>16</i>, 172–186.
    <a href="https://doi.org/10.1112/s1461157013000107">https://doi.org/10.1112/s1461157013000107</a>
  bibtex: '@article{Lorch_Kirschmer_2013, title={Single-class genera of positive integral
    lattices}, volume={16}, DOI={<a href="https://doi.org/10.1112/s1461157013000107">10.1112/s1461157013000107</a>},
    journal={LMS Journal of Computation and Mathematics}, publisher={Wiley}, author={Lorch,
    David and Kirschmer, Markus}, year={2013}, pages={172–186} }'
  chicago: 'Lorch, David, and Markus Kirschmer. “Single-Class Genera of Positive Integral
    Lattices.” <i>LMS Journal of Computation and Mathematics</i> 16 (2013): 172–86.
    <a href="https://doi.org/10.1112/s1461157013000107">https://doi.org/10.1112/s1461157013000107</a>.'
  ieee: 'D. Lorch and M. Kirschmer, “Single-class genera of positive integral lattices,”
    <i>LMS Journal of Computation and Mathematics</i>, vol. 16, pp. 172–186, 2013,
    doi: <a href="https://doi.org/10.1112/s1461157013000107">10.1112/s1461157013000107</a>.'
  mla: Lorch, David, and Markus Kirschmer. “Single-Class Genera of Positive Integral
    Lattices.” <i>LMS Journal of Computation and Mathematics</i>, vol. 16, Wiley,
    2013, pp. 172–86, doi:<a href="https://doi.org/10.1112/s1461157013000107">10.1112/s1461157013000107</a>.
  short: D. Lorch, M. Kirschmer, LMS Journal of Computation and Mathematics 16 (2013)
    172–186.
date_created: 2023-03-07T08:34:28Z
date_updated: 2023-04-04T07:57:04Z
department:
- _id: '102'
doi: 10.1112/s1461157013000107
extern: '1'
intvolume: '        16'
keyword:
- Computational Theory and Mathematics
- General Mathematics
language:
- iso: eng
page: 172-186
publication: LMS Journal of Computation and Mathematics
publication_identifier:
  issn:
  - 1461-1570
publication_status: published
publisher: Wiley
status: public
title: Single-class genera of positive integral lattices
type: journal_article
user_id: '93826'
volume: 16
year: '2013'
...
---
_id: '44342'
author:
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
- first_name: ' O.'
  full_name: Schiffmann,  O.
  last_name: Schiffmann
citation:
  ama: Burban I, Schiffmann  O. Composition algebra of a weighted projective line.
    <i>Journal für Reine und Angew Mathematik</i>. 2013;679:75–124.
  apa: Burban, I., &#38; Schiffmann,  O. (2013). Composition algebra of a weighted
    projective line. <i>Journal Für Reine Und Angew. Mathematik</i>, <i>679</i>, 75–124.
  bibtex: '@article{Burban_Schiffmann_2013, title={Composition algebra of a weighted
    projective line}, volume={679}, journal={Journal für Reine und Angew. Mathematik},
    author={Burban, Igor and Schiffmann,  O.}, year={2013}, pages={75–124} }'
  chicago: 'Burban, Igor, and  O. Schiffmann. “Composition Algebra of a Weighted Projective
    Line.” <i>Journal Für Reine Und Angew. Mathematik</i> 679 (2013): 75–124.'
  ieee: I. Burban and  O. Schiffmann, “Composition algebra of a weighted projective
    line,” <i>Journal für Reine und Angew. Mathematik</i>, vol. 679, pp. 75–124, 2013.
  mla: Burban, Igor, and  O. Schiffmann. “Composition Algebra of a Weighted Projective
    Line.” <i>Journal Für Reine Und Angew. Mathematik</i>, vol. 679, 2013, pp. 75–124.
  short: I. Burban,  O. Schiffmann, Journal Für Reine Und Angew. Mathematik 679 (2013)
    75–124.
date_created: 2023-05-03T00:26:42Z
date_updated: 2023-05-07T01:40:36Z
department:
- _id: '602'
extern: '1'
intvolume: '       679'
language:
- iso: eng
page: 75–124
publication: Journal für Reine und Angew. Mathematik
publication_status: published
status: public
title: Composition algebra of a weighted projective line
type: journal_article
user_id: '49063'
volume: 679
year: '2013'
...
---
_id: '64731'
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: 'Glöckner H. Grobman-Hartman Theorems for Diffeomorphisms of Banach Spaces
    over Valued Fields. In: <i>Advances in Ultrametric Analysis. 12th International
    Conference p-Adic Functional Analysis, University of Manitoba, Winnipeg, Canada,
    July 2-6, 2012</i>. ; 2013.'
  apa: Glöckner, H. (2013). Grobman-Hartman Theorems for Diffeomorphisms of Banach
    Spaces over Valued Fields. In <i>Advances in Ultrametric Analysis. 12th International
    Conference p-Adic Functional Analysis, University of Manitoba, Winnipeg, Canada,
    July 2-6, 2012</i>.
  bibtex: '@inbook{Glöckner_2013, title={Grobman-Hartman Theorems for Diffeomorphisms
    of Banach Spaces over Valued Fields}, booktitle={Advances in Ultrametric Analysis.
    12th International Conference p-Adic Functional Analysis, University of Manitoba,
    Winnipeg, Canada, July 2-6, 2012}, author={Glöckner, Helge}, year={2013} }'
  chicago: Glöckner, Helge. “Grobman-Hartman Theorems for Diffeomorphisms of Banach
    Spaces over Valued Fields.” In <i>Advances in Ultrametric Analysis. 12th International
    Conference p-Adic Functional Analysis, University of Manitoba, Winnipeg, Canada,
    July 2-6, 2012</i>, 2013.
  ieee: H. Glöckner, “Grobman-Hartman Theorems for Diffeomorphisms of Banach Spaces
    over Valued Fields,” in <i>Advances in Ultrametric Analysis. 12th International
    Conference p-Adic Functional Analysis, University of Manitoba, Winnipeg, Canada,
    July 2-6, 2012</i>, 2013.
  mla: Glöckner, Helge. “Grobman-Hartman Theorems for Diffeomorphisms of Banach Spaces
    over Valued Fields.” <i>Advances in Ultrametric Analysis. 12th International Conference
    p-Adic Functional Analysis, University of Manitoba, Winnipeg, Canada, July 2-6,
    2012</i>, 2013.
  short: 'H. Glöckner, in: Advances in Ultrametric Analysis. 12th International Conference
    p-Adic Functional Analysis, University of Manitoba, Winnipeg, Canada, July 2-6,
    2012, 2013.'
date_created: 2026-02-26T13:44:52Z
date_updated: 2026-02-26T13:45:11Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
language:
- iso: eng
publication: Advances in Ultrametric Analysis. 12th International Conference p-Adic
  Functional Analysis, University of Manitoba, Winnipeg, Canada, July 2-6, 2012
publication_identifier:
  eisbn:
  - 978-1-4704-1024-7
quality_controlled: '1'
status: public
title: Grobman-Hartman Theorems for Diffeomorphisms of Banach Spaces over Valued Fields
type: book_chapter
user_id: '178'
year: '2013'
...
---
_id: '64748'
author:
- first_name: Hamza
  full_name: Alzaareer, Hamza
  last_name: Alzaareer
citation:
  ama: Alzaareer H. <i>Lie Groups of Mappings on Non-Compact Spaces and Manifolds</i>.;
    2013.
  apa: Alzaareer, H. (2013). <i>Lie groups of mappings on non-compact spaces and manifolds</i>.
  bibtex: '@book{Alzaareer_2013, title={Lie groups of mappings on non-compact spaces
    and manifolds}, author={Alzaareer, Hamza}, year={2013} }'
  chicago: Alzaareer, Hamza. <i>Lie Groups of Mappings on Non-Compact Spaces and Manifolds</i>,
    2013.
  ieee: H. Alzaareer, <i>Lie groups of mappings on non-compact spaces and manifolds</i>.
    2013.
  mla: Alzaareer, Hamza. <i>Lie Groups of Mappings on Non-Compact Spaces and Manifolds</i>.
    2013.
  short: H. Alzaareer, Lie Groups of Mappings on Non-Compact Spaces and Manifolds,
    2013.
date_created: 2026-02-26T20:20:01Z
date_updated: 2026-02-26T20:20:22Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://nbn-resolving.org/urn:nbn:de:hbz:466:2-11572
oa: '1'
status: public
supervisor:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
title: Lie groups of mappings on non-compact spaces and manifolds
type: dissertation
user_id: '178'
year: '2013'
...